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Finding the Third Proportional to 8,420,186 and 17,720,596

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Solution

The third proportional to 8,420,186 and 17,720,596 is: 37,293,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420,186 : 17,720,596 = 17,720,596 : x
  2. Step 2: Convert to fraction form
    8,420,186/17,720,596 = 17,720,596/x
  3. Step 3: Cross multiply
    8,420,186x = 17,720,596 × 17,720,596
  4. Step 4: Simplify right side
    8,420,186x = 314,019,522,595,216
  5. Step 5: Solve for x
    x = 314,019,522,595,216/8,420,186
  6. Step 6: Final answer
    x = 37,293,656.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.