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Finding the Third Proportional to 767,720,907 and 1,657,771,542

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Solution

The third proportional to 767,720,907 and 1,657,771,542 is: 3,579,694,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,720,907 : 1,657,771,542 = 1,657,771,542 : x
  2. Step 2: Convert to fraction form
    767,720,907/1,657,771,542 = 1,657,771,542/x
  3. Step 3: Cross multiply
    767,720,907x = 1,657,771,542 × 1,657,771,542
  4. Step 4: Simplify right side
    767,720,907x = 2,748,206,485,465,057,792
  5. Step 5: Solve for x
    x = 2,748,206,485,465,057,792/767,720,907
  6. Step 6: Final answer
    x = 3,579,694,730.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.