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Finding the Third Proportional to 63,546,957 and 137,171,610

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Solution

The third proportional to 63,546,957 and 137,171,610 is: 296,096,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546,957 : 137,171,610 = 137,171,610 : x
  2. Step 2: Convert to fraction form
    63,546,957/137,171,610 = 137,171,610/x
  3. Step 3: Cross multiply
    63,546,957x = 137,171,610 × 137,171,610
  4. Step 4: Simplify right side
    63,546,957x = 18,816,050,589,992,100
  5. Step 5: Solve for x
    x = 18,816,050,589,992,100/63,546,957
  6. Step 6: Final answer
    x = 296,096,799.57

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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.