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Finding the Third Proportional to 9,691,632 and 15,205,440

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Solution

The third proportional to 9,691,632 and 15,205,440 is: 23,856,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,632 : 15,205,440 = 15,205,440 : x
  2. Step 2: Convert to fraction form
    9,691,632/15,205,440 = 15,205,440/x
  3. Step 3: Cross multiply
    9,691,632x = 15,205,440 × 15,205,440
  4. Step 4: Simplify right side
    9,691,632x = 231,205,405,593,600
  5. Step 5: Solve for x
    x = 231,205,405,593,600/9,691,632
  6. Step 6: Final answer
    x = 23,856,189.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.