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Finding the Third Proportional to 8,090,713.50 and 17,382,087

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Solution

The third proportional to 8,090,713.50 and 17,382,087 is: 37,343,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090,713.50 : 17,382,087 = 17,382,087 : x
  2. Step 2: Convert to fraction form
    8,090,713.50/17,382,087 = 17,382,087/x
  3. Step 3: Cross multiply
    8,090,713.50x = 17,382,087 × 17,382,087
  4. Step 4: Simplify right side
    8,090,713.50x = 302,136,948,475,569
  5. Step 5: Solve for x
    x = 302,136,948,475,569/8,090,713.50
  6. Step 6: Final answer
    x = 37,343,671.66

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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.