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Finding the Third Proportional to 10,290,540.19 and 22,374,625.31

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Solution

The third proportional to 10,290,540.19 and 22,374,625.31 is: 48,648,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290,540.19 : 22,374,625.31 = 22,374,625.31 : x
  2. Step 2: Convert to fraction form
    10,290,540.19/22,374,625.31 = 22,374,625.31/x
  3. Step 3: Cross multiply
    10,290,540.19x = 22,374,625.31 × 22,374,625.31
  4. Step 4: Simplify right side
    10,290,540.19x = 500,623,857,874,765.75
  5. Step 5: Solve for x
    x = 500,623,857,874,765.75/10,290,540.19
  6. Step 6: Final answer
    x = 48,648,938.61

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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.