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Finding the Third Proportional to 2,473,018.59 and 5,381,523.56

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Solution

The third proportional to 2,473,018.59 and 5,381,523.56 is: 11,710,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,018.59 : 5,381,523.56 = 5,381,523.56 : x
  2. Step 2: Convert to fraction form
    2,473,018.59/5,381,523.56 = 5,381,523.56/x
  3. Step 3: Cross multiply
    2,473,018.59x = 5,381,523.56 × 5,381,523.56
  4. Step 4: Simplify right side
    2,473,018.59x = 28,960,795,853,742.69
  5. Step 5: Solve for x
    x = 28,960,795,853,742.69/2,473,018.59
  6. Step 6: Final answer
    x = 11,710,706.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.