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Finding the Third Proportional to 10,089,832 and 15,666,344

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Solution

The third proportional to 10,089,832 and 15,666,344 is: 24,324,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089,832 : 15,666,344 = 15,666,344 : x
  2. Step 2: Convert to fraction form
    10,089,832/15,666,344 = 15,666,344/x
  3. Step 3: Cross multiply
    10,089,832x = 15,666,344 × 15,666,344
  4. Step 4: Simplify right side
    10,089,832x = 245,434,334,326,336
  5. Step 5: Solve for x
    x = 245,434,334,326,336/10,089,832
  6. Step 6: Final answer
    x = 24,324,917.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.