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Finding the Third Proportional to 6,147,344 and 9,021,720

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Solution

The third proportional to 6,147,344 and 9,021,720 is: 13,240,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,344 : 9,021,720 = 9,021,720 : x
  2. Step 2: Convert to fraction form
    6,147,344/9,021,720 = 9,021,720/x
  3. Step 3: Cross multiply
    6,147,344x = 9,021,720 × 9,021,720
  4. Step 4: Simplify right side
    6,147,344x = 81,391,431,758,400
  5. Step 5: Solve for x
    x = 81,391,431,758,400/6,147,344
  6. Step 6: Final answer
    x = 13,240,097.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.