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Finding the Third Proportional to 11,046,901 and 24,005,976

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Solution

The third proportional to 11,046,901 and 24,005,976 is: 52,167,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046,901 : 24,005,976 = 24,005,976 : x
  2. Step 2: Convert to fraction form
    11,046,901/24,005,976 = 24,005,976/x
  3. Step 3: Cross multiply
    11,046,901x = 24,005,976 × 24,005,976
  4. Step 4: Simplify right side
    11,046,901x = 576,286,883,712,576
  5. Step 5: Solve for x
    x = 576,286,883,712,576/11,046,901
  6. Step 6: Final answer
    x = 52,167,289.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.