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Finding the Third Proportional to 7,750,599 and 16,685,743

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Solution

The third proportional to 7,750,599 and 16,685,743 is: 35,921,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,599 : 16,685,743 = 16,685,743 : x
  2. Step 2: Convert to fraction form
    7,750,599/16,685,743 = 16,685,743/x
  3. Step 3: Cross multiply
    7,750,599x = 16,685,743 × 16,685,743
  4. Step 4: Simplify right side
    7,750,599x = 278,414,019,462,049
  5. Step 5: Solve for x
    x = 278,414,019,462,049/7,750,599
  6. Step 6: Final answer
    x = 35,921,613.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.