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Finding the Third Proportional to 11,450,768 and 24,695,016

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Solution

The third proportional to 11,450,768 and 24,695,016 is: 53,257,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450,768 : 24,695,016 = 24,695,016 : x
  2. Step 2: Convert to fraction form
    11,450,768/24,695,016 = 24,695,016/x
  3. Step 3: Cross multiply
    11,450,768x = 24,695,016 × 24,695,016
  4. Step 4: Simplify right side
    11,450,768x = 609,843,815,240,256
  5. Step 5: Solve for x
    x = 609,843,815,240,256/11,450,768
  6. Step 6: Final answer
    x = 53,257,896.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.