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Finding the Third Proportional to 10,265,049 and 15,888,933

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Solution

The third proportional to 10,265,049 and 15,888,933 is: 24,593,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265,049 : 15,888,933 = 15,888,933 : x
  2. Step 2: Convert to fraction form
    10,265,049/15,888,933 = 15,888,933/x
  3. Step 3: Cross multiply
    10,265,049x = 15,888,933 × 15,888,933
  4. Step 4: Simplify right side
    10,265,049x = 252,458,191,878,489
  5. Step 5: Solve for x
    x = 252,458,191,878,489/10,265,049
  6. Step 6: Final answer
    x = 24,593,958.77

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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.