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Finding the Third Proportional to 10,469,988 and 15,642,438

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Solution

The third proportional to 10,469,988 and 15,642,438 is: 23,370,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469,988 : 15,642,438 = 15,642,438 : x
  2. Step 2: Convert to fraction form
    10,469,988/15,642,438 = 15,642,438/x
  3. Step 3: Cross multiply
    10,469,988x = 15,642,438 × 15,642,438
  4. Step 4: Simplify right side
    10,469,988x = 244,685,866,583,844
  5. Step 5: Solve for x
    x = 244,685,866,583,844/10,469,988
  6. Step 6: Final answer
    x = 23,370,214.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.