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Finding the Third Proportional to 767,720,916 and 1,657,771,560

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Solution

The third proportional to 767,720,916 and 1,657,771,560 is: 3,579,694,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,720,916 : 1,657,771,560 = 1,657,771,560 : x
  2. Step 2: Convert to fraction form
    767,720,916/1,657,771,560 = 1,657,771,560/x
  3. Step 3: Cross multiply
    767,720,916x = 1,657,771,560 × 1,657,771,560
  4. Step 4: Simplify right side
    767,720,916x = 2,748,206,545,144,833,536
  5. Step 5: Solve for x
    x = 2,748,206,545,144,833,536/767,720,916
  6. Step 6: Final answer
    x = 3,579,694,766.51

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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.