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Finding the Third Proportional to 4,042,594,103,708.40 and 8,989,054,557,099.60

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Solution

The third proportional to 4,042,594,103,708.40 and 8,989,054,557,099.60 is: 19,987,933,430,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042,594,103,708.40 : 8,989,054,557,099.60 = 8,989,054,557,099.60 : x
  2. Step 2: Convert to fraction form
    4,042,594,103,708.40/8,989,054,557,099.60 = 8,989,054,557,099.60/x
  3. Step 3: Cross multiply
    4,042,594,103,708.40x = 8,989,054,557,099.60 × 8,989,054,557,099.60
  4. Step 4: Simplify right side
    4,042,594,103,708.40x = 80,803,101,830,513,081,525,993,472
  5. Step 5: Solve for x
    x = 80,803,101,830,513,081,525,993,472/4,042,594,103,708.40
  6. Step 6: Final answer
    x = 19,987,933,430,266.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.