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Finding the Third Proportional to 11,653,103 and 17,641,497

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Solution

The third proportional to 11,653,103 and 17,641,497 is: 26,707,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653,103 : 17,641,497 = 17,641,497 : x
  2. Step 2: Convert to fraction form
    11,653,103/17,641,497 = 17,641,497/x
  3. Step 3: Cross multiply
    11,653,103x = 17,641,497 × 17,641,497
  4. Step 4: Simplify right side
    11,653,103x = 311,222,416,401,009
  5. Step 5: Solve for x
    x = 311,222,416,401,009/11,653,103
  6. Step 6: Final answer
    x = 26,707,256.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.