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Finding the Third Proportional to 120,446,077,942 and 182,220,753,743

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Solution

The third proportional to 120,446,077,942 and 182,220,753,743 is: 275,678,574,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,446,077,942 : 182,220,753,743 = 182,220,753,743 : x
  2. Step 2: Convert to fraction form
    120,446,077,942/182,220,753,743 = 182,220,753,743/x
  3. Step 3: Cross multiply
    120,446,077,942x = 182,220,753,743 × 182,220,753,743
  4. Step 4: Simplify right side
    120,446,077,942x = 33,204,403,094,667,046,944,768
  5. Step 5: Solve for x
    x = 33,204,403,094,667,046,944,768/120,446,077,942
  6. Step 6: Final answer
    x = 275,678,574,695.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.