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Finding the Third Proportional to 39,055,034,497.50 and 84,767,961,846

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Solution

The third proportional to 39,055,034,497.50 and 84,767,961,846 is: 183,986,711,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,055,034,497.50 : 84,767,961,846 = 84,767,961,846 : x
  2. Step 2: Convert to fraction form
    39,055,034,497.50/84,767,961,846 = 84,767,961,846/x
  3. Step 3: Cross multiply
    39,055,034,497.50x = 84,767,961,846 × 84,767,961,846
  4. Step 4: Simplify right side
    39,055,034,497.50x = 7,185,607,355,524,911,726,592
  5. Step 5: Solve for x
    x = 7,185,607,355,524,911,726,592/39,055,034,497.50
  6. Step 6: Final answer
    x = 183,986,711,264.71

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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.