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Finding the Third Proportional to 86,543,256,672 and 187,984,447,722

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Solution

The third proportional to 86,543,256,672 and 187,984,447,722 is: 408,329,359,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543,256,672 : 187,984,447,722 = 187,984,447,722 : x
  2. Step 2: Convert to fraction form
    86,543,256,672/187,984,447,722 = 187,984,447,722/x
  3. Step 3: Cross multiply
    86,543,256,672x = 187,984,447,722 × 187,984,447,722
  4. Step 4: Simplify right side
    86,543,256,672x = 35,338,152,585,345,351,286,784
  5. Step 5: Solve for x
    x = 35,338,152,585,345,351,286,784/86,543,256,672
  6. Step 6: Final answer
    x = 408,329,359,724.44

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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.