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Finding the Third Proportional to 31,947,350 and 45,685,082

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Solution

The third proportional to 31,947,350 and 45,685,082 is: 65,330,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947,350 : 45,685,082 = 45,685,082 : x
  2. Step 2: Convert to fraction form
    31,947,350/45,685,082 = 45,685,082/x
  3. Step 3: Cross multiply
    31,947,350x = 45,685,082 × 45,685,082
  4. Step 4: Simplify right side
    31,947,350x = 2,087,126,717,346,724
  5. Step 5: Solve for x
    x = 2,087,126,717,346,724/31,947,350
  6. Step 6: Final answer
    x = 65,330,198.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.