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Finding the Third Proportional to 8,290,534.50 and 17,840,781

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Solution

The third proportional to 8,290,534.50 and 17,840,781 is: 38,392,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290,534.50 : 17,840,781 = 17,840,781 : x
  2. Step 2: Convert to fraction form
    8,290,534.50/17,840,781 = 17,840,781/x
  3. Step 3: Cross multiply
    8,290,534.50x = 17,840,781 × 17,840,781
  4. Step 4: Simplify right side
    8,290,534.50x = 318,293,466,689,961
  5. Step 5: Solve for x
    x = 318,293,466,689,961/8,290,534.50
  6. Step 6: Final answer
    x = 38,392,393.96

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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.