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Finding the Third Proportional to 5,046,780.75 and 11,102,862

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Solution

The third proportional to 5,046,780.75 and 11,102,862 is: 24,426,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046,780.75 : 11,102,862 = 11,102,862 : x
  2. Step 2: Convert to fraction form
    5,046,780.75/11,102,862 = 11,102,862/x
  3. Step 3: Cross multiply
    5,046,780.75x = 11,102,862 × 11,102,862
  4. Step 4: Simplify right side
    5,046,780.75x = 123,273,544,591,044
  5. Step 5: Solve for x
    x = 123,273,544,591,044/5,046,780.75
  6. Step 6: Final answer
    x = 24,426,173.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.