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Finding the Third Proportional to 63,517,329 and 137,786,921

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Solution

The third proportional to 63,517,329 and 137,786,921 is: 298,898,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,517,329 : 137,786,921 = 137,786,921 : x
  2. Step 2: Convert to fraction form
    63,517,329/137,786,921 = 137,786,921/x
  3. Step 3: Cross multiply
    63,517,329x = 137,786,921 × 137,786,921
  4. Step 4: Simplify right side
    63,517,329x = 18,985,235,598,660,240
  5. Step 5: Solve for x
    x = 18,985,235,598,660,240/63,517,329
  6. Step 6: Final answer
    x = 298,898,519.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.