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Finding the Third Proportional to 3,833,154.14 and 8,198,159.34

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Solution

The third proportional to 3,833,154.14 and 8,198,159.34 is: 17,533,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,154.14 : 8,198,159.34 = 8,198,159.34 : x
  2. Step 2: Convert to fraction form
    3,833,154.14/8,198,159.34 = 8,198,159.34/x
  3. Step 3: Cross multiply
    3,833,154.14x = 8,198,159.34 × 8,198,159.34
  4. Step 4: Simplify right side
    3,833,154.14x = 67,209,816,625,515.43
  5. Step 5: Solve for x
    x = 67,209,816,625,515.43/3,833,154.14
  6. Step 6: Final answer
    x = 17,533,815.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.