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Finding the Third Proportional to 61,690,940 and 133,022,558

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Solution

The third proportional to 61,690,940 and 133,022,558 is: 286,833,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,690,940 : 133,022,558 = 133,022,558 : x
  2. Step 2: Convert to fraction form
    61,690,940/133,022,558 = 133,022,558/x
  3. Step 3: Cross multiply
    61,690,940x = 133,022,558 × 133,022,558
  4. Step 4: Simplify right side
    61,690,940x = 17,695,000,936,863,364
  5. Step 5: Solve for x
    x = 17,695,000,936,863,364/61,690,940
  6. Step 6: Final answer
    x = 286,833,057.45

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Why These Related Problems?

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