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Finding the Third Proportional to 45,782,940 and 99,517,785

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Solution

The third proportional to 45,782,940 and 99,517,785 is: 216,320,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782,940 : 99,517,785 = 99,517,785 : x
  2. Step 2: Convert to fraction form
    45,782,940/99,517,785 = 99,517,785/x
  3. Step 3: Cross multiply
    45,782,940x = 99,517,785 × 99,517,785
  4. Step 4: Simplify right side
    45,782,940x = 9,903,789,531,306,224
  5. Step 5: Solve for x
    x = 9,903,789,531,306,224/45,782,940
  6. Step 6: Final answer
    x = 216,320,523.13

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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.