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Finding the Third Proportional to 10,214,093.04 and 15,176,438.75

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Solution

The third proportional to 10,214,093.04 and 15,176,438.75 is: 22,549,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214,093.04 : 15,176,438.75 = 15,176,438.75 : x
  2. Step 2: Convert to fraction form
    10,214,093.04/15,176,438.75 = 15,176,438.75/x
  3. Step 3: Cross multiply
    10,214,093.04x = 15,176,438.75 × 15,176,438.75
  4. Step 4: Simplify right side
    10,214,093.04x = 230,324,293,251,090.28
  5. Step 5: Solve for x
    x = 230,324,293,251,090.28/10,214,093.04
  6. Step 6: Final answer
    x = 22,549,656.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.