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Finding the Third Proportional to 5,842,458 and 12,618,036

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Solution

The third proportional to 5,842,458 and 12,618,036 is: 27,251,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842,458 : 12,618,036 = 12,618,036 : x
  2. Step 2: Convert to fraction form
    5,842,458/12,618,036 = 12,618,036/x
  3. Step 3: Cross multiply
    5,842,458x = 12,618,036 × 12,618,036
  4. Step 4: Simplify right side
    5,842,458x = 159,214,832,497,296
  5. Step 5: Solve for x
    x = 159,214,832,497,296/5,842,458
  6. Step 6: Final answer
    x = 27,251,343.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.