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Finding the Third Proportional to 10,290,535.88 and 22,374,616.75

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Solution

The third proportional to 10,290,535.88 and 22,374,616.75 is: 48,648,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290,535.88 : 22,374,616.75 = 22,374,616.75 : x
  2. Step 2: Convert to fraction form
    10,290,535.88/22,374,616.75 = 22,374,616.75/x
  3. Step 3: Cross multiply
    10,290,535.88x = 22,374,616.75 × 22,374,616.75
  4. Step 4: Simplify right side
    10,290,535.88x = 500,623,474,709,380.56
  5. Step 5: Solve for x
    x = 500,623,474,709,380.56/10,290,535.88
  6. Step 6: Final answer
    x = 48,648,921.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.