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Finding the Third Proportional to 47,781,690.75 and 73,784,857.50

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Solution

The third proportional to 47,781,690.75 and 73,784,857.50 is: 113,939,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781,690.75 : 73,784,857.50 = 73,784,857.50 : x
  2. Step 2: Convert to fraction form
    47,781,690.75/73,784,857.50 = 73,784,857.50/x
  3. Step 3: Cross multiply
    47,781,690.75x = 73,784,857.50 × 73,784,857.50
  4. Step 4: Simplify right side
    47,781,690.75x = 5,444,205,196,295,306
  5. Step 5: Solve for x
    x = 5,444,205,196,295,306/47,781,690.75
  6. Step 6: Final answer
    x = 113,939,149.30

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