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Finding the Third Proportional to 38,304,657 and 57,854,209.50

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Solution

The third proportional to 38,304,657 and 57,854,209.50 is: 87,381,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304,657 : 57,854,209.50 = 57,854,209.50 : x
  2. Step 2: Convert to fraction form
    38,304,657/57,854,209.50 = 57,854,209.50/x
  3. Step 3: Cross multiply
    38,304,657x = 57,854,209.50 × 57,854,209.50
  4. Step 4: Simplify right side
    38,304,657x = 3,347,109,556,869,890
  5. Step 5: Solve for x
    x = 3,347,109,556,869,890/38,304,657
  6. Step 6: Final answer
    x = 87,381,269.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.