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Finding the Third Proportional to 47,017,035 and 72,653,251.50

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Solution

The third proportional to 47,017,035 and 72,653,251.50 is: 112,267,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,017,035 : 72,653,251.50 = 72,653,251.50 : x
  2. Step 2: Convert to fraction form
    47,017,035/72,653,251.50 = 72,653,251.50/x
  3. Step 3: Cross multiply
    47,017,035x = 72,653,251.50 × 72,653,251.50
  4. Step 4: Simplify right side
    47,017,035x = 5,278,494,953,522,252
  5. Step 5: Solve for x
    x = 5,278,494,953,522,252/47,017,035
  6. Step 6: Final answer
    x = 112,267,712.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.