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Finding the Third Proportional to 3,153,540 and 6,744,357

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Solution

The third proportional to 3,153,540 and 6,744,357 is: 14,423,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153,540 : 6,744,357 = 6,744,357 : x
  2. Step 2: Convert to fraction form
    3,153,540/6,744,357 = 6,744,357/x
  3. Step 3: Cross multiply
    3,153,540x = 6,744,357 × 6,744,357
  4. Step 4: Simplify right side
    3,153,540x = 45,486,351,343,449
  5. Step 5: Solve for x
    x = 45,486,351,343,449/3,153,540
  6. Step 6: Final answer
    x = 14,423,901.82

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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.