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Finding the Third Proportional to 8,277,984,233 and 18,158,604,043

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Solution

The third proportional to 8,277,984,233 and 18,158,604,043 is: 39,832,752,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277,984,233 : 18,158,604,043 = 18,158,604,043 : x
  2. Step 2: Convert to fraction form
    8,277,984,233/18,158,604,043 = 18,158,604,043/x
  3. Step 3: Cross multiply
    8,277,984,233x = 18,158,604,043 × 18,158,604,043
  4. Step 4: Simplify right side
    8,277,984,233x = 329,734,900,790,455,959,552
  5. Step 5: Solve for x
    x = 329,734,900,790,455,959,552/8,277,984,233
  6. Step 6: Final answer
    x = 39,832,752,939.54

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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.