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Finding the Third Proportional to 7,829,448 and 17,248,296

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Solution

The third proportional to 7,829,448 and 17,248,296 is: 37,998,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,448 : 17,248,296 = 17,248,296 : x
  2. Step 2: Convert to fraction form
    7,829,448/17,248,296 = 17,248,296/x
  3. Step 3: Cross multiply
    7,829,448x = 17,248,296 × 17,248,296
  4. Step 4: Simplify right side
    7,829,448x = 297,503,714,903,616
  5. Step 5: Solve for x
    x = 297,503,714,903,616/7,829,448
  6. Step 6: Final answer
    x = 37,998,044.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.