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Finding the Third Proportional to 3,482,854,770 and 7,577,896,767

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Solution

The third proportional to 3,482,854,770 and 7,577,896,767 is: 16,487,773,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482,854,770 : 7,577,896,767 = 7,577,896,767 : x
  2. Step 2: Convert to fraction form
    3,482,854,770/7,577,896,767 = 7,577,896,767/x
  3. Step 3: Cross multiply
    3,482,854,770x = 7,577,896,767 × 7,577,896,767
  4. Step 4: Simplify right side
    3,482,854,770x = 57,424,519,411,309,051,904
  5. Step 5: Solve for x
    x = 57,424,519,411,309,051,904/3,482,854,770
  6. Step 6: Final answer
    x = 16,487,773,164.11

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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.