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Finding the Third Proportional to 8,085,210 and 12,115,359

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Solution

The third proportional to 8,085,210 and 12,115,359 is: 18,154,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085,210 : 12,115,359 = 12,115,359 : x
  2. Step 2: Convert to fraction form
    8,085,210/12,115,359 = 12,115,359/x
  3. Step 3: Cross multiply
    8,085,210x = 12,115,359 × 12,115,359
  4. Step 4: Simplify right side
    8,085,210x = 146,781,923,698,881
  5. Step 5: Solve for x
    x = 146,781,923,698,881/8,085,210
  6. Step 6: Final answer
    x = 18,154,373.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.