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Finding the Third Proportional to 31,925,027,750 and 44,900,415,578

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Solution

The third proportional to 31,925,027,750 and 44,900,415,578 is: 63,149,430,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925,027,750 : 44,900,415,578 = 44,900,415,578 : x
  2. Step 2: Convert to fraction form
    31,925,027,750/44,900,415,578 = 44,900,415,578/x
  3. Step 3: Cross multiply
    31,925,027,750x = 44,900,415,578 × 44,900,415,578
  4. Step 4: Simplify right side
    31,925,027,750x = 2,016,047,319,077,105,172,480
  5. Step 5: Solve for x
    x = 2,016,047,319,077,105,172,480/31,925,027,750
  6. Step 6: Final answer
    x = 63,149,430,436.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.