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Finding the Third Proportional to 61,543,024 and 97,451,814

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Solution

The third proportional to 61,543,024 and 97,451,814 is: 154,312,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,543,024 : 97,451,814 = 97,451,814 : x
  2. Step 2: Convert to fraction form
    61,543,024/97,451,814 = 97,451,814/x
  3. Step 3: Cross multiply
    61,543,024x = 97,451,814 × 97,451,814
  4. Step 4: Simplify right side
    61,543,024x = 9,496,856,051,890,596
  5. Step 5: Solve for x
    x = 9,496,856,051,890,596/61,543,024
  6. Step 6: Final answer
    x = 154,312,470.12

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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.