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Finding the Third Proportional to 47,046,286 and 101,910,207

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Solution

The third proportional to 47,046,286 and 101,910,207 is: 220,754,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046,286 : 101,910,207 = 101,910,207 : x
  2. Step 2: Convert to fraction form
    47,046,286/101,910,207 = 101,910,207/x
  3. Step 3: Cross multiply
    47,046,286x = 101,910,207 × 101,910,207
  4. Step 4: Simplify right side
    47,046,286x = 10,385,690,290,782,848
  5. Step 5: Solve for x
    x = 10,385,690,290,782,848/47,046,286
  6. Step 6: Final answer
    x = 220,754,732.71

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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.