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Finding the Third Proportional to 6,859,222 and 10,031,212

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Solution

The third proportional to 6,859,222 and 10,031,212 is: 14,670,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859,222 : 10,031,212 = 10,031,212 : x
  2. Step 2: Convert to fraction form
    6,859,222/10,031,212 = 10,031,212/x
  3. Step 3: Cross multiply
    6,859,222x = 10,031,212 × 10,031,212
  4. Step 4: Simplify right side
    6,859,222x = 100,625,214,188,944
  5. Step 5: Solve for x
    x = 100,625,214,188,944/6,859,222
  6. Step 6: Final answer
    x = 14,670,062.32

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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.