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Finding the Third Proportional to 9,712,467 and 20,981,106

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Solution

The third proportional to 9,712,467 and 20,981,106 is: 45,323,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,467 : 20,981,106 = 20,981,106 : x
  2. Step 2: Convert to fraction form
    9,712,467/20,981,106 = 20,981,106/x
  3. Step 3: Cross multiply
    9,712,467x = 20,981,106 × 20,981,106
  4. Step 4: Simplify right side
    9,712,467x = 440,206,808,983,236
  5. Step 5: Solve for x
    x = 440,206,808,983,236/9,712,467
  6. Step 6: Final answer
    x = 45,323,892.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.