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Finding the Third Proportional to 63,546,948 and 137,171,592

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Solution

The third proportional to 63,546,948 and 137,171,592 is: 296,096,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546,948 : 137,171,592 = 137,171,592 : x
  2. Step 2: Convert to fraction form
    63,546,948/137,171,592 = 137,171,592/x
  3. Step 3: Cross multiply
    63,546,948x = 137,171,592 × 137,171,592
  4. Step 4: Simplify right side
    63,546,948x = 18,816,045,651,814,464
  5. Step 5: Solve for x
    x = 18,816,045,651,814,464/63,546,948
  6. Step 6: Final answer
    x = 296,096,763.79

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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.