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Finding the Third Proportional to 21,400,768 and 47,702,932

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Solution

The third proportional to 21,400,768 and 47,702,932 is: 106,331,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400,768 : 47,702,932 = 47,702,932 : x
  2. Step 2: Convert to fraction form
    21,400,768/47,702,932 = 47,702,932/x
  3. Step 3: Cross multiply
    21,400,768x = 47,702,932 × 47,702,932
  4. Step 4: Simplify right side
    21,400,768x = 2,275,569,721,396,624
  5. Step 5: Solve for x
    x = 2,275,569,721,396,624/21,400,768
  6. Step 6: Final answer
    x = 106,331,217.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.