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Finding the Third Proportional to 9,799,158 and 15,234,414

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Solution

The third proportional to 9,799,158 and 15,234,414 is: 23,684,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799,158 : 15,234,414 = 15,234,414 : x
  2. Step 2: Convert to fraction form
    9,799,158/15,234,414 = 15,234,414/x
  3. Step 3: Cross multiply
    9,799,158x = 15,234,414 × 15,234,414
  4. Step 4: Simplify right side
    9,799,158x = 232,087,369,923,396
  5. Step 5: Solve for x
    x = 232,087,369,923,396/9,799,158
  6. Step 6: Final answer
    x = 23,684,419.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.