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Finding the Third Proportional to 29,253,876,576 and 44,565,258,432

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Solution

The third proportional to 29,253,876,576 and 44,565,258,432 is: 67,890,566,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,253,876,576 : 44,565,258,432 = 44,565,258,432 : x
  2. Step 2: Convert to fraction form
    29,253,876,576/44,565,258,432 = 44,565,258,432/x
  3. Step 3: Cross multiply
    29,253,876,576x = 44,565,258,432 × 44,565,258,432
  4. Step 4: Simplify right side
    29,253,876,576x = 1,986,062,259,110,947,061,760
  5. Step 5: Solve for x
    x = 1,986,062,259,110,947,061,760/29,253,876,576
  6. Step 6: Final answer
    x = 67,890,566,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.