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Finding the Third Proportional to 3,978,100,223.44 and 6,629,767,461

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Solution

The third proportional to 3,978,100,223.44 and 6,629,767,461 is: 11,048,946,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,100,223.44 : 6,629,767,461 = 6,629,767,461 : x
  2. Step 2: Convert to fraction form
    3,978,100,223.44/6,629,767,461 = 6,629,767,461/x
  3. Step 3: Cross multiply
    3,978,100,223.44x = 6,629,767,461 × 6,629,767,461
  4. Step 4: Simplify right side
    3,978,100,223.44x = 43,953,816,586,934,386,688
  5. Step 5: Solve for x
    x = 43,953,816,586,934,386,688/3,978,100,223.44
  6. Step 6: Final answer
    x = 11,048,946,511.70

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.