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Finding the Third Proportional to 6,821,799.75 and 14,778,865.13

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Solution

The third proportional to 6,821,799.75 and 14,778,865.13 is: 32,017,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,799.75 : 14,778,865.13 = 14,778,865.13 : x
  2. Step 2: Convert to fraction form
    6,821,799.75/14,778,865.13 = 14,778,865.13/x
  3. Step 3: Cross multiply
    6,821,799.75x = 14,778,865.13 × 14,778,865.13
  4. Step 4: Simplify right side
    6,821,799.75x = 218,414,854,382,941.25
  5. Step 5: Solve for x
    x = 218,414,854,382,941.25/6,821,799.75
  6. Step 6: Final answer
    x = 32,017,189.36

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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.