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Finding the Third Proportional to 6,947,508 and 15,083,376

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Solution

The third proportional to 6,947,508 and 15,083,376 is: 32,746,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,508 : 15,083,376 = 15,083,376 : x
  2. Step 2: Convert to fraction form
    6,947,508/15,083,376 = 15,083,376/x
  3. Step 3: Cross multiply
    6,947,508x = 15,083,376 × 15,083,376
  4. Step 4: Simplify right side
    6,947,508x = 227,508,231,557,376
  5. Step 5: Solve for x
    x = 227,508,231,557,376/6,947,508
  6. Step 6: Final answer
    x = 32,746,739.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.