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Finding the Third Proportional to 581,384,936 and 1,275,767,792

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Solution

The third proportional to 581,384,936 and 1,275,767,792 is: 2,799,493,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,384,936 : 1,275,767,792 = 1,275,767,792 : x
  2. Step 2: Convert to fraction form
    581,384,936/1,275,767,792 = 1,275,767,792/x
  3. Step 3: Cross multiply
    581,384,936x = 1,275,767,792 × 1,275,767,792
  4. Step 4: Simplify right side
    581,384,936x = 1,627,583,459,104,555,264
  5. Step 5: Solve for x
    x = 1,627,583,459,104,555,264/581,384,936
  6. Step 6: Final answer
    x = 2,799,493,688.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.