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Finding the Third Proportional to 47,457,006 and 102,067,932

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Solution

The third proportional to 47,457,006 and 102,067,932 is: 219,522,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,457,006 : 102,067,932 = 102,067,932 : x
  2. Step 2: Convert to fraction form
    47,457,006/102,067,932 = 102,067,932/x
  3. Step 3: Cross multiply
    47,457,006x = 102,067,932 × 102,067,932
  4. Step 4: Simplify right side
    47,457,006x = 10,417,862,742,756,624
  5. Step 5: Solve for x
    x = 10,417,862,742,756,624/47,457,006
  6. Step 6: Final answer
    x = 219,522,123.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.