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Finding the Third Proportional to 21,421,742 and 47,189,116

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Solution

The third proportional to 21,421,742 and 47,189,116 is: 103,951,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421,742 : 47,189,116 = 47,189,116 : x
  2. Step 2: Convert to fraction form
    21,421,742/47,189,116 = 47,189,116/x
  3. Step 3: Cross multiply
    21,421,742x = 47,189,116 × 47,189,116
  4. Step 4: Simplify right side
    21,421,742x = 2,226,812,668,861,456
  5. Step 5: Solve for x
    x = 2,226,812,668,861,456/21,421,742
  6. Step 6: Final answer
    x = 103,951,054.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.