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Finding the Third Proportional to 47,781,825 and 73,785,062.25

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Solution

The third proportional to 47,781,825 and 73,785,062.25 is: 113,939,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781,825 : 73,785,062.25 = 73,785,062.25 : x
  2. Step 2: Convert to fraction form
    47,781,825/73,785,062.25 = 73,785,062.25/x
  3. Step 3: Cross multiply
    47,781,825x = 73,785,062.25 × 73,785,062.25
  4. Step 4: Simplify right side
    47,781,825x = 5,444,235,411,236,375
  5. Step 5: Solve for x
    x = 5,444,235,411,236,375/47,781,825
  6. Step 6: Final answer
    x = 113,939,461.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.