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Finding the Third Proportional to 31,751,844 and 44,715,094.50

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Solution

The third proportional to 31,751,844 and 44,715,094.50 is: 62,970,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751,844 : 44,715,094.50 = 44,715,094.50 : x
  2. Step 2: Convert to fraction form
    31,751,844/44,715,094.50 = 44,715,094.50/x
  3. Step 3: Cross multiply
    31,751,844x = 44,715,094.50 × 44,715,094.50
  4. Step 4: Simplify right side
    31,751,844x = 1,999,439,676,143,930.25
  5. Step 5: Solve for x
    x = 1,999,439,676,143,930.25/31,751,844
  6. Step 6: Final answer
    x = 62,970,820.72

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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.