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Finding the Third Proportional to 17,320,417.50 and 24,215,013

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Solution

The third proportional to 17,320,417.50 and 24,215,013 is: 33,854,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320,417.50 : 24,215,013 = 24,215,013 : x
  2. Step 2: Convert to fraction form
    17,320,417.50/24,215,013 = 24,215,013/x
  3. Step 3: Cross multiply
    17,320,417.50x = 24,215,013 × 24,215,013
  4. Step 4: Simplify right side
    17,320,417.50x = 586,366,854,590,169
  5. Step 5: Solve for x
    x = 586,366,854,590,169/17,320,417.50
  6. Step 6: Final answer
    x = 33,854,083.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.