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Finding the Third Proportional to 31,438,337,438 and 68,181,120,580

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Solution

The third proportional to 31,438,337,438 and 68,181,120,580 is: 147,866,127,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438,337,438 : 68,181,120,580 = 68,181,120,580 : x
  2. Step 2: Convert to fraction form
    31,438,337,438/68,181,120,580 = 68,181,120,580/x
  3. Step 3: Cross multiply
    31,438,337,438x = 68,181,120,580 × 68,181,120,580
  4. Step 4: Simplify right side
    31,438,337,438x = 4,648,665,203,544,499,421,184
  5. Step 5: Solve for x
    x = 4,648,665,203,544,499,421,184/31,438,337,438
  6. Step 6: Final answer
    x = 147,866,127,231.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.