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Finding the Third Proportional to 6,526,344 and 13,997,448

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Solution

The third proportional to 6,526,344 and 13,997,448 is: 30,021,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526,344 : 13,997,448 = 13,997,448 : x
  2. Step 2: Convert to fraction form
    6,526,344/13,997,448 = 13,997,448/x
  3. Step 3: Cross multiply
    6,526,344x = 13,997,448 × 13,997,448
  4. Step 4: Simplify right side
    6,526,344x = 195,928,550,512,704
  5. Step 5: Solve for x
    x = 195,928,550,512,704/6,526,344
  6. Step 6: Final answer
    x = 30,021,180.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.