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Finding the Third Proportional to 47,781,697.50 and 73,784,867.63

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Solution

The third proportional to 47,781,697.50 and 73,784,867.63 is: 113,939,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781,697.50 : 73,784,867.63 = 73,784,867.63 : x
  2. Step 2: Convert to fraction form
    47,781,697.50/73,784,867.63 = 73,784,867.63/x
  3. Step 3: Cross multiply
    47,781,697.50x = 73,784,867.63 × 73,784,867.63
  4. Step 4: Simplify right side
    47,781,697.50x = 5,444,206,690,438,773
  5. Step 5: Solve for x
    x = 5,444,206,690,438,773/47,781,697.50
  6. Step 6: Final answer
    x = 113,939,164.48

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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.