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Finding the Third Proportional to 18,569,375,510.25 and 40,786,754,865

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Solution

The third proportional to 18,569,375,510.25 and 40,786,754,865 is: 89,586,177,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569,375,510.25 : 40,786,754,865 = 40,786,754,865 : x
  2. Step 2: Convert to fraction form
    18,569,375,510.25/40,786,754,865 = 40,786,754,865/x
  3. Step 3: Cross multiply
    18,569,375,510.25x = 40,786,754,865 × 40,786,754,865
  4. Step 4: Simplify right side
    18,569,375,510.25x = 1,663,559,372,417,601,110,016
  5. Step 5: Solve for x
    x = 1,663,559,372,417,601,110,016/18,569,375,510.25
  6. Step 6: Final answer
    x = 89,586,177,601.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.