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Finding the Third Proportional to 11,176,838 and 24,445,996

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Solution

The third proportional to 11,176,838 and 24,445,996 is: 53,468,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176,838 : 24,445,996 = 24,445,996 : x
  2. Step 2: Convert to fraction form
    11,176,838/24,445,996 = 24,445,996/x
  3. Step 3: Cross multiply
    11,176,838x = 24,445,996 × 24,445,996
  4. Step 4: Simplify right side
    11,176,838x = 597,606,720,432,016
  5. Step 5: Solve for x
    x = 597,606,720,432,016/11,176,838
  6. Step 6: Final answer
    x = 53,468,317.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.