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Finding the Third Proportional to 63,576,747 and 137,317,212

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Solution

The third proportional to 63,576,747 and 137,317,212 is: 296,586,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,576,747 : 137,317,212 = 137,317,212 : x
  2. Step 2: Convert to fraction form
    63,576,747/137,317,212 = 137,317,212/x
  3. Step 3: Cross multiply
    63,576,747x = 137,317,212 × 137,317,212
  4. Step 4: Simplify right side
    63,576,747x = 18,856,016,711,452,944
  5. Step 5: Solve for x
    x = 18,856,016,711,452,944/63,576,747
  6. Step 6: Final answer
    x = 296,586,686.19

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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.