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Finding the Third Proportional to 6,123,700 and 13,183,424

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Solution

The third proportional to 6,123,700 and 13,183,424 is: 28,381,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123,700 : 13,183,424 = 13,183,424 : x
  2. Step 2: Convert to fraction form
    6,123,700/13,183,424 = 13,183,424/x
  3. Step 3: Cross multiply
    6,123,700x = 13,183,424 × 13,183,424
  4. Step 4: Simplify right side
    6,123,700x = 173,802,668,363,776
  5. Step 5: Solve for x
    x = 173,802,668,363,776/6,123,700
  6. Step 6: Final answer
    x = 28,381,969.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.