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Finding the Third Proportional to 6,143,212 and 8,270,028

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Solution

The third proportional to 6,143,212 and 8,270,028 is: 11,133,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,212 : 8,270,028 = 8,270,028 : x
  2. Step 2: Convert to fraction form
    6,143,212/8,270,028 = 8,270,028/x
  3. Step 3: Cross multiply
    6,143,212x = 8,270,028 × 8,270,028
  4. Step 4: Simplify right side
    6,143,212x = 68,393,363,120,784
  5. Step 5: Solve for x
    x = 68,393,363,120,784/6,143,212
  6. Step 6: Final answer
    x = 11,133,160.16

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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.