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Finding the Third Proportional to 11,499,036 and 23,335,977

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Solution

The third proportional to 11,499,036 and 23,335,977 is: 47,357,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499,036 : 23,335,977 = 23,335,977 : x
  2. Step 2: Convert to fraction form
    11,499,036/23,335,977 = 23,335,977/x
  3. Step 3: Cross multiply
    11,499,036x = 23,335,977 × 23,335,977
  4. Step 4: Simplify right side
    11,499,036x = 544,567,822,544,529
  5. Step 5: Solve for x
    x = 544,567,822,544,529/11,499,036
  6. Step 6: Final answer
    x = 47,357,693.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.