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Finding the Third Proportional to 47,381,905 and 71,656,057.50

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Solution

The third proportional to 47,381,905 and 71,656,057.50 is: 108,366,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381,905 : 71,656,057.50 = 71,656,057.50 : x
  2. Step 2: Convert to fraction form
    47,381,905/71,656,057.50 = 71,656,057.50/x
  3. Step 3: Cross multiply
    47,381,905x = 71,656,057.50 × 71,656,057.50
  4. Step 4: Simplify right side
    47,381,905x = 5,134,590,576,443,306
  5. Step 5: Solve for x
    x = 5,134,590,576,443,306/47,381,905
  6. Step 6: Final answer
    x = 108,366,064.57

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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.