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Finding the Third Proportional to 10,239,427.21 and 21,998,417.91

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Solution

The third proportional to 10,239,427.21 and 21,998,417.91 is: 47,261,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,427.21 : 21,998,417.91 = 21,998,417.91 : x
  2. Step 2: Convert to fraction form
    10,239,427.21/21,998,417.91 = 21,998,417.91/x
  3. Step 3: Cross multiply
    10,239,427.21x = 21,998,417.91 × 21,998,417.91
  4. Step 4: Simplify right side
    10,239,427.21x = 483,930,390,378,020.62
  5. Step 5: Solve for x
    x = 483,930,390,378,020.62/10,239,427.21
  6. Step 6: Final answer
    x = 47,261,470.81

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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.