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Finding the Third Proportional to 61,690,942 and 133,022,562

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Solution

The third proportional to 61,690,942 and 133,022,562 is: 286,833,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,690,942 : 133,022,562 = 133,022,562 : x
  2. Step 2: Convert to fraction form
    61,690,942/133,022,562 = 133,022,562/x
  3. Step 3: Cross multiply
    61,690,942x = 133,022,562 × 133,022,562
  4. Step 4: Simplify right side
    61,690,942x = 17,695,002,001,043,844
  5. Step 5: Solve for x
    x = 17,695,002,001,043,844/61,690,942
  6. Step 6: Final answer
    x = 286,833,065.40

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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.