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Finding the Third Proportional to 8,277,984,231 and 18,158,604,039

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Solution

The third proportional to 8,277,984,231 and 18,158,604,039 is: 39,832,752,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277,984,231 : 18,158,604,039 = 18,158,604,039 : x
  2. Step 2: Convert to fraction form
    8,277,984,231/18,158,604,039 = 18,158,604,039/x
  3. Step 3: Cross multiply
    8,277,984,231x = 18,158,604,039 × 18,158,604,039
  4. Step 4: Simplify right side
    8,277,984,231x = 329,734,900,645,187,092,480
  5. Step 5: Solve for x
    x = 329,734,900,645,187,092,480/8,277,984,231
  6. Step 6: Final answer
    x = 39,832,752,931.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.