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Finding the Third Proportional to 31,413,118 and 48,267,934

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Solution

The third proportional to 31,413,118 and 48,267,934 is: 74,166,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413,118 : 48,267,934 = 48,267,934 : x
  2. Step 2: Convert to fraction form
    31,413,118/48,267,934 = 48,267,934/x
  3. Step 3: Cross multiply
    31,413,118x = 48,267,934 × 48,267,934
  4. Step 4: Simplify right side
    31,413,118x = 2,329,793,452,628,356
  5. Step 5: Solve for x
    x = 2,329,793,452,628,356/31,413,118
  6. Step 6: Final answer
    x = 74,166,259.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.