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Finding the Third Proportional to 6,859,224 and 10,031,215

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Solution

The third proportional to 6,859,224 and 10,031,215 is: 14,670,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859,224 : 10,031,215 = 10,031,215 : x
  2. Step 2: Convert to fraction form
    6,859,224/10,031,215 = 10,031,215/x
  3. Step 3: Cross multiply
    6,859,224x = 10,031,215 × 10,031,215
  4. Step 4: Simplify right side
    6,859,224x = 100,625,274,376,225
  5. Step 5: Solve for x
    x = 100,625,274,376,225/6,859,224
  6. Step 6: Final answer
    x = 14,670,066.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.