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Finding the Third Proportional to 8,041,416 and 17,342,448

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Solution

The third proportional to 8,041,416 and 17,342,448 is: 37,401,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041,416 : 17,342,448 = 17,342,448 : x
  2. Step 2: Convert to fraction form
    8,041,416/17,342,448 = 17,342,448/x
  3. Step 3: Cross multiply
    8,041,416x = 17,342,448 × 17,342,448
  4. Step 4: Simplify right side
    8,041,416x = 300,760,502,632,704
  5. Step 5: Solve for x
    x = 300,760,502,632,704/8,041,416
  6. Step 6: Final answer
    x = 37,401,435.60

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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.