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Finding the Third Proportional to 8,202,025,098 and 17,894,325,213

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Solution

The third proportional to 8,202,025,098 and 17,894,325,213 is: 39,039,977,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,025,098 : 17,894,325,213 = 17,894,325,213 : x
  2. Step 2: Convert to fraction form
    8,202,025,098/17,894,325,213 = 17,894,325,213/x
  3. Step 3: Cross multiply
    8,202,025,098x = 17,894,325,213 × 17,894,325,213
  4. Step 4: Simplify right side
    8,202,025,098x = 320,206,874,828,607,520,768
  5. Step 5: Solve for x
    x = 320,206,874,828,607,520,768/8,202,025,098
  6. Step 6: Final answer
    x = 39,039,977,444.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.