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Finding the Third Proportional to 3,482,854,767 and 7,577,896,761

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Solution

The third proportional to 3,482,854,767 and 7,577,896,761 is: 16,487,773,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482,854,767 : 7,577,896,761 = 7,577,896,761 : x
  2. Step 2: Convert to fraction form
    3,482,854,767/7,577,896,761 = 7,577,896,761/x
  3. Step 3: Cross multiply
    3,482,854,767x = 7,577,896,761 × 7,577,896,761
  4. Step 4: Simplify right side
    3,482,854,767x = 57,424,519,320,374,288,384
  5. Step 5: Solve for x
    x = 57,424,519,320,374,288,384/3,482,854,767
  6. Step 6: Final answer
    x = 16,487,773,152.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.