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Finding the Third Proportional to 7,827,742.50 and 11,944,077.75

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Solution

The third proportional to 7,827,742.50 and 11,944,077.75 is: 18,225,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,742.50 : 11,944,077.75 = 11,944,077.75 : x
  2. Step 2: Convert to fraction form
    7,827,742.50/11,944,077.75 = 11,944,077.75/x
  3. Step 3: Cross multiply
    7,827,742.50x = 11,944,077.75 × 11,944,077.75
  4. Step 4: Simplify right side
    7,827,742.50x = 142,660,993,298,045.06
  5. Step 5: Solve for x
    x = 142,660,993,298,045.06/7,827,742.50
  6. Step 6: Final answer
    x = 18,225,049.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.