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Finding the Third Proportional to 9,799,162 and 15,234,420

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Solution

The third proportional to 9,799,162 and 15,234,420 is: 23,684,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799,162 : 15,234,420 = 15,234,420 : x
  2. Step 2: Convert to fraction form
    9,799,162/15,234,420 = 15,234,420/x
  3. Step 3: Cross multiply
    9,799,162x = 15,234,420 × 15,234,420
  4. Step 4: Simplify right side
    9,799,162x = 232,087,552,736,400
  5. Step 5: Solve for x
    x = 232,087,552,736,400/9,799,162
  6. Step 6: Final answer
    x = 23,684,428.60

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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.