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Finding the Third Proportional to 7,340,908 and 15,744,688

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Solution

The third proportional to 7,340,908 and 15,744,688 is: 33,769,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340,908 : 15,744,688 = 15,744,688 : x
  2. Step 2: Convert to fraction form
    7,340,908/15,744,688 = 15,744,688/x
  3. Step 3: Cross multiply
    7,340,908x = 15,744,688 × 15,744,688
  4. Step 4: Simplify right side
    7,340,908x = 247,895,200,217,344
  5. Step 5: Solve for x
    x = 247,895,200,217,344/7,340,908
  6. Step 6: Final answer
    x = 33,769,010.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.