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Finding the Third Proportional to 5,248,528 and 11,302,016

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Solution

The third proportional to 5,248,528 and 11,302,016 is: 24,337,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248,528 : 11,302,016 = 11,302,016 : x
  2. Step 2: Convert to fraction form
    5,248,528/11,302,016 = 11,302,016/x
  3. Step 3: Cross multiply
    5,248,528x = 11,302,016 × 11,302,016
  4. Step 4: Simplify right side
    5,248,528x = 127,735,565,664,256
  5. Step 5: Solve for x
    x = 127,735,565,664,256/5,248,528
  6. Step 6: Final answer
    x = 24,337,407.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.