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Finding the Third Proportional to 18,439,472,654 and 39,675,631,822

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Solution

The third proportional to 18,439,472,654 and 39,675,631,822 is: 85,368,805,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,439,472,654 : 39,675,631,822 = 39,675,631,822 : x
  2. Step 2: Convert to fraction form
    18,439,472,654/39,675,631,822 = 39,675,631,822/x
  3. Step 3: Cross multiply
    18,439,472,654x = 39,675,631,822 × 39,675,631,822
  4. Step 4: Simplify right side
    18,439,472,654x = 1,574,155,760,474,899,087,360
  5. Step 5: Solve for x
    x = 1,574,155,760,474,899,087,360/18,439,472,654
  6. Step 6: Final answer
    x = 85,368,805,822.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.