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Finding the Third Proportional to 3,110,013 and 6,468,309

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Solution

The third proportional to 3,110,013 and 6,468,309 is: 13,453,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,013 : 6,468,309 = 6,468,309 : x
  2. Step 2: Convert to fraction form
    3,110,013/6,468,309 = 6,468,309/x
  3. Step 3: Cross multiply
    3,110,013x = 6,468,309 × 6,468,309
  4. Step 4: Simplify right side
    3,110,013x = 41,839,021,319,481
  5. Step 5: Solve for x
    x = 41,839,021,319,481/3,110,013
  6. Step 6: Final answer
    x = 13,453,005.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.