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Finding the Third Proportional to 9,708,765.75 and 20,930,652

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Solution

The third proportional to 9,708,765.75 and 20,930,652 is: 45,123,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708,765.75 : 20,930,652 = 20,930,652 : x
  2. Step 2: Convert to fraction form
    9,708,765.75/20,930,652 = 20,930,652/x
  3. Step 3: Cross multiply
    9,708,765.75x = 20,930,652 × 20,930,652
  4. Step 4: Simplify right side
    9,708,765.75x = 438,092,193,145,104
  5. Step 5: Solve for x
    x = 438,092,193,145,104/9,708,765.75
  6. Step 6: Final answer
    x = 45,123,366.29

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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.