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Finding the Third Proportional to 5,872,170.50 and 8,983,764.50

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Solution

The third proportional to 5,872,170.50 and 8,983,764.50 is: 13,744,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872,170.50 : 8,983,764.50 = 8,983,764.50 : x
  2. Step 2: Convert to fraction form
    5,872,170.50/8,983,764.50 = 8,983,764.50/x
  3. Step 3: Cross multiply
    5,872,170.50x = 8,983,764.50 × 8,983,764.50
  4. Step 4: Simplify right side
    5,872,170.50x = 80,708,024,591,460.25
  5. Step 5: Solve for x
    x = 80,708,024,591,460.25/5,872,170.50
  6. Step 6: Final answer
    x = 13,744,155.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.