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Finding the Third Proportional to 11,165,508 and 24,185,928

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Solution

The third proportional to 11,165,508 and 24,185,928 is: 52,389,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165,508 : 24,185,928 = 24,185,928 : x
  2. Step 2: Convert to fraction form
    11,165,508/24,185,928 = 24,185,928/x
  3. Step 3: Cross multiply
    11,165,508x = 24,185,928 × 24,185,928
  4. Step 4: Simplify right side
    11,165,508x = 584,959,113,221,184
  5. Step 5: Solve for x
    x = 584,959,113,221,184/11,165,508
  6. Step 6: Final answer
    x = 52,389,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.