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Finding the Third Proportional to 48,893,047 and 103,614,422

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Solution

The third proportional to 48,893,047 and 103,614,422 is: 219,580,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,047 : 103,614,422 = 103,614,422 : x
  2. Step 2: Convert to fraction form
    48,893,047/103,614,422 = 103,614,422/x
  3. Step 3: Cross multiply
    48,893,047x = 103,614,422 × 103,614,422
  4. Step 4: Simplify right side
    48,893,047x = 10,735,948,446,394,084
  5. Step 5: Solve for x
    x = 10,735,948,446,394,084/48,893,047
  6. Step 6: Final answer
    x = 219,580,269.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.