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Finding the Third Proportional to 20,598,834.94 and 31,866,832.69

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Solution

The third proportional to 20,598,834.94 and 31,866,832.69 is: 49,298,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598,834.94 : 31,866,832.69 = 31,866,832.69 : x
  2. Step 2: Convert to fraction form
    20,598,834.94/31,866,832.69 = 31,866,832.69/x
  3. Step 3: Cross multiply
    20,598,834.94x = 31,866,832.69 × 31,866,832.69
  4. Step 4: Simplify right side
    20,598,834.94x = 1,015,495,025,533,118.50
  5. Step 5: Solve for x
    x = 1,015,495,025,533,118.50/20,598,834.94
  6. Step 6: Final answer
    x = 49,298,663.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.