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Finding the Third Proportional to 7,122,400 and 16,796,448

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Solution

The third proportional to 7,122,400 and 16,796,448 is: 39,610,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,400 : 16,796,448 = 16,796,448 : x
  2. Step 2: Convert to fraction form
    7,122,400/16,796,448 = 16,796,448/x
  3. Step 3: Cross multiply
    7,122,400x = 16,796,448 × 16,796,448
  4. Step 4: Simplify right side
    7,122,400x = 282,120,665,416,704
  5. Step 5: Solve for x
    x = 282,120,665,416,704/7,122,400
  6. Step 6: Final answer
    x = 39,610,337.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.