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Finding the Third Proportional to 6,143,202 and 8,270,019

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Solution

The third proportional to 6,143,202 and 8,270,019 is: 11,133,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,202 : 8,270,019 = 8,270,019 : x
  2. Step 2: Convert to fraction form
    6,143,202/8,270,019 = 8,270,019/x
  3. Step 3: Cross multiply
    6,143,202x = 8,270,019 × 8,270,019
  4. Step 4: Simplify right side
    6,143,202x = 68,393,214,260,361
  5. Step 5: Solve for x
    x = 68,393,214,260,361/6,143,202
  6. Step 6: Final answer
    x = 11,133,154.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.