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Finding the Third Proportional to 2,935,071 and 6,391,203

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Solution

The third proportional to 2,935,071 and 6,391,203 is: 13,917,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935,071 : 6,391,203 = 6,391,203 : x
  2. Step 2: Convert to fraction form
    2,935,071/6,391,203 = 6,391,203/x
  3. Step 3: Cross multiply
    2,935,071x = 6,391,203 × 6,391,203
  4. Step 4: Simplify right side
    2,935,071x = 40,847,475,787,209
  5. Step 5: Solve for x
    x = 40,847,475,787,209/2,935,071
  6. Step 6: Final answer
    x = 13,917,031.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.