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Finding the Third Proportional to 9,324,001.13 and 20,180,200.78

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Solution

The third proportional to 9,324,001.13 and 20,180,200.78 is: 43,676,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324,001.13 : 20,180,200.78 = 20,180,200.78 : x
  2. Step 2: Convert to fraction form
    9,324,001.13/20,180,200.78 = 20,180,200.78/x
  3. Step 3: Cross multiply
    9,324,001.13x = 20,180,200.78 × 20,180,200.78
  4. Step 4: Simplify right side
    9,324,001.13x = 407,240,503,571,563.12
  5. Step 5: Solve for x
    x = 407,240,503,571,563.12/9,324,001.13
  6. Step 6: Final answer
    x = 43,676,582.41

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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.