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Finding the Third Proportional to 3,111,998 and 6,377,634

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Solution

The third proportional to 3,111,998 and 6,377,634 is: 13,070,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111,998 : 6,377,634 = 6,377,634 : x
  2. Step 2: Convert to fraction form
    3,111,998/6,377,634 = 6,377,634/x
  3. Step 3: Cross multiply
    3,111,998x = 6,377,634 × 6,377,634
  4. Step 4: Simplify right side
    3,111,998x = 40,674,215,437,956
  5. Step 5: Solve for x
    x = 40,674,215,437,956/3,111,998
  6. Step 6: Final answer
    x = 13,070,129.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.