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Finding the Third Proportional to 61,542,978 and 97,451,730

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Solution

The third proportional to 61,542,978 and 97,451,730 is: 154,312,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542,978 : 97,451,730 = 97,451,730 : x
  2. Step 2: Convert to fraction form
    61,542,978/97,451,730 = 97,451,730/x
  3. Step 3: Cross multiply
    61,542,978x = 97,451,730 × 97,451,730
  4. Step 4: Simplify right side
    61,542,978x = 9,496,839,679,992,900
  5. Step 5: Solve for x
    x = 9,496,839,679,992,900/61,542,978
  6. Step 6: Final answer
    x = 154,312,319.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.