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Finding the Third Proportional to 5,299,464 and 11,495,112

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Solution

The third proportional to 5,299,464 and 11,495,112 is: 24,934,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,464 : 11,495,112 = 11,495,112 : x
  2. Step 2: Convert to fraction form
    5,299,464/11,495,112 = 11,495,112/x
  3. Step 3: Cross multiply
    5,299,464x = 11,495,112 × 11,495,112
  4. Step 4: Simplify right side
    5,299,464x = 132,137,599,892,544
  5. Step 5: Solve for x
    x = 132,137,599,892,544/5,299,464
  6. Step 6: Final answer
    x = 24,934,144.26

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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.