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Finding the Third Proportional to 1,079,531,266.50 and 1,658,580,480

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Solution

The third proportional to 1,079,531,266.50 and 1,658,580,480 is: 2,548,225,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,531,266.50 : 1,658,580,480 = 1,658,580,480 : x
  2. Step 2: Convert to fraction form
    1,079,531,266.50/1,658,580,480 = 1,658,580,480/x
  3. Step 3: Cross multiply
    1,079,531,266.50x = 1,658,580,480 × 1,658,580,480
  4. Step 4: Simplify right side
    1,079,531,266.50x = 2,750,889,208,637,030,400
  5. Step 5: Solve for x
    x = 2,750,889,208,637,030,400/1,079,531,266.50
  6. Step 6: Final answer
    x = 2,548,225,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.