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Finding the Third Proportional to 7,498,715 and 11,199,021

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Solution

The third proportional to 7,498,715 and 11,199,021 is: 16,725,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498,715 : 11,199,021 = 11,199,021 : x
  2. Step 2: Convert to fraction form
    7,498,715/11,199,021 = 11,199,021/x
  3. Step 3: Cross multiply
    7,498,715x = 11,199,021 × 11,199,021
  4. Step 4: Simplify right side
    7,498,715x = 125,418,071,358,441
  5. Step 5: Solve for x
    x = 125,418,071,358,441/7,498,715
  6. Step 6: Final answer
    x = 16,725,275.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.