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Finding the Third Proportional to 19,876,178.25 and 29,835,301.50

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Solution

The third proportional to 19,876,178.25 and 29,835,301.50 is: 44,784,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876,178.25 : 29,835,301.50 = 29,835,301.50 : x
  2. Step 2: Convert to fraction form
    19,876,178.25/29,835,301.50 = 29,835,301.50/x
  3. Step 3: Cross multiply
    19,876,178.25x = 29,835,301.50 × 29,835,301.50
  4. Step 4: Simplify right side
    19,876,178.25x = 890,145,215,595,902.25
  5. Step 5: Solve for x
    x = 890,145,215,595,902.25/19,876,178.25
  6. Step 6: Final answer
    x = 44,784,525.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.