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Finding the Third Proportional to 47,781,823.50 and 73,785,060

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Solution

The third proportional to 47,781,823.50 and 73,785,060 is: 113,939,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781,823.50 : 73,785,060 = 73,785,060 : x
  2. Step 2: Convert to fraction form
    47,781,823.50/73,785,060 = 73,785,060/x
  3. Step 3: Cross multiply
    47,781,823.50x = 73,785,060 × 73,785,060
  4. Step 4: Simplify right side
    47,781,823.50x = 5,444,235,079,203,600
  5. Step 5: Solve for x
    x = 5,444,235,079,203,600/47,781,823.50
  6. Step 6: Final answer
    x = 113,939,458.15

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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.