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Finding the Third Proportional to 7,612,374 and 16,486,890

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Solution

The third proportional to 7,612,374 and 16,486,890 is: 35,707,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,374 : 16,486,890 = 16,486,890 : x
  2. Step 2: Convert to fraction form
    7,612,374/16,486,890 = 16,486,890/x
  3. Step 3: Cross multiply
    7,612,374x = 16,486,890 × 16,486,890
  4. Step 4: Simplify right side
    7,612,374x = 271,817,541,872,100
  5. Step 5: Solve for x
    x = 271,817,541,872,100/7,612,374
  6. Step 6: Final answer
    x = 35,707,328.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.