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Finding the Third Proportional to 26,479,497,988 and 57,608,005,432

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Solution

The third proportional to 26,479,497,988 and 57,608,005,432 is: 125,330,257,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,479,497,988 : 57,608,005,432 = 57,608,005,432 : x
  2. Step 2: Convert to fraction form
    26,479,497,988/57,608,005,432 = 57,608,005,432/x
  3. Step 3: Cross multiply
    26,479,497,988x = 57,608,005,432 × 57,608,005,432
  4. Step 4: Simplify right side
    26,479,497,988x = 3,318,682,289,853,341,630,464
  5. Step 5: Solve for x
    x = 3,318,682,289,853,341,630,464/26,479,497,988
  6. Step 6: Final answer
    x = 125,330,257,067.46

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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.