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Finding the Third Proportional to 63,576,745 and 137,317,207

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Solution

The third proportional to 63,576,745 and 137,317,207 is: 296,586,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,576,745 : 137,317,207 = 137,317,207 : x
  2. Step 2: Convert to fraction form
    63,576,745/137,317,207 = 137,317,207/x
  3. Step 3: Cross multiply
    63,576,745x = 137,317,207 × 137,317,207
  4. Step 4: Simplify right side
    63,576,745x = 18,856,015,338,280,848
  5. Step 5: Solve for x
    x = 18,856,015,338,280,848/63,576,745
  6. Step 6: Final answer
    x = 296,586,673.92

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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.