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Finding the Third Proportional to 10,213,680 and 15,836,656

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Solution

The third proportional to 10,213,680 and 15,836,656 is: 24,555,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213,680 : 15,836,656 = 15,836,656 : x
  2. Step 2: Convert to fraction form
    10,213,680/15,836,656 = 15,836,656/x
  3. Step 3: Cross multiply
    10,213,680x = 15,836,656 × 15,836,656
  4. Step 4: Simplify right side
    10,213,680x = 250,799,673,262,336
  5. Step 5: Solve for x
    x = 250,799,673,262,336/10,213,680
  6. Step 6: Final answer
    x = 24,555,270.31

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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.