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Finding the Third Proportional to 2,781,333.50 and 5,775,829

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Solution

The third proportional to 2,781,333.50 and 5,775,829 is: 11,994,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,333.50 : 5,775,829 = 5,775,829 : x
  2. Step 2: Convert to fraction form
    2,781,333.50/5,775,829 = 5,775,829/x
  3. Step 3: Cross multiply
    2,781,333.50x = 5,775,829 × 5,775,829
  4. Step 4: Simplify right side
    2,781,333.50x = 33,360,200,637,241
  5. Step 5: Solve for x
    x = 33,360,200,637,241/2,781,333.50
  6. Step 6: Final answer
    x = 11,994,318.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.