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Finding the Third Proportional to 61,690,950 and 133,022,578

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Solution

The third proportional to 61,690,950 and 133,022,578 is: 286,833,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,690,950 : 133,022,578 = 133,022,578 : x
  2. Step 2: Convert to fraction form
    61,690,950/133,022,578 = 133,022,578/x
  3. Step 3: Cross multiply
    61,690,950x = 133,022,578 × 133,022,578
  4. Step 4: Simplify right side
    61,690,950x = 17,695,006,257,766,084
  5. Step 5: Solve for x
    x = 17,695,006,257,766,084/61,690,950
  6. Step 6: Final answer
    x = 286,833,097.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.