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Finding the Third Proportional to 9,182,831,496 and 13,771,855,761.75

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Solution

The third proportional to 9,182,831,496 and 13,771,855,761.75 is: 20,654,197,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182,831,496 : 13,771,855,761.75 = 13,771,855,761.75 : x
  2. Step 2: Convert to fraction form
    9,182,831,496/13,771,855,761.75 = 13,771,855,761.75/x
  3. Step 3: Cross multiply
    9,182,831,496x = 13,771,855,761.75 × 13,771,855,761.75
  4. Step 4: Simplify right side
    9,182,831,496x = 189,664,011,122,446,663,680
  5. Step 5: Solve for x
    x = 189,664,011,122,446,663,680/9,182,831,496
  6. Step 6: Final answer
    x = 20,654,197,042.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.