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Finding the Third Proportional to 8,254,890 and 17,508,691.50

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Solution

The third proportional to 8,254,890 and 17,508,691.50 is: 37,136,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254,890 : 17,508,691.50 = 17,508,691.50 : x
  2. Step 2: Convert to fraction form
    8,254,890/17,508,691.50 = 17,508,691.50/x
  3. Step 3: Cross multiply
    8,254,890x = 17,508,691.50 × 17,508,691.50
  4. Step 4: Simplify right side
    8,254,890x = 306,554,278,042,172.25
  5. Step 5: Solve for x
    x = 306,554,278,042,172.25/8,254,890
  6. Step 6: Final answer
    x = 37,136,082.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.