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Finding the Third Proportional to 11,769,516 and 25,342,497

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Solution

The third proportional to 11,769,516 and 25,342,497 is: 54,568,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769,516 : 25,342,497 = 25,342,497 : x
  2. Step 2: Convert to fraction form
    11,769,516/25,342,497 = 25,342,497/x
  3. Step 3: Cross multiply
    11,769,516x = 25,342,497 × 25,342,497
  4. Step 4: Simplify right side
    11,769,516x = 642,242,154,195,009
  5. Step 5: Solve for x
    x = 642,242,154,195,009/11,769,516
  6. Step 6: Final answer
    x = 54,568,272.32

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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.