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Finding the Third Proportional to 10,213,682 and 15,836,659

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Solution

The third proportional to 10,213,682 and 15,836,659 is: 24,555,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213,682 : 15,836,659 = 15,836,659 : x
  2. Step 2: Convert to fraction form
    10,213,682/15,836,659 = 15,836,659/x
  3. Step 3: Cross multiply
    10,213,682x = 15,836,659 × 15,836,659
  4. Step 4: Simplify right side
    10,213,682x = 250,799,768,282,281
  5. Step 5: Solve for x
    x = 250,799,768,282,281/10,213,682
  6. Step 6: Final answer
    x = 24,555,274.81

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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.