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Finding the Third Proportional to 10,089,884 and 15,666,472

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Solution

The third proportional to 10,089,884 and 15,666,472 is: 24,325,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089,884 : 15,666,472 = 15,666,472 : x
  2. Step 2: Convert to fraction form
    10,089,884/15,666,472 = 15,666,472/x
  3. Step 3: Cross multiply
    10,089,884x = 15,666,472 × 15,666,472
  4. Step 4: Simplify right side
    10,089,884x = 245,438,344,926,784
  5. Step 5: Solve for x
    x = 245,438,344,926,784/10,089,884
  6. Step 6: Final answer
    x = 24,325,189.96

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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.