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Finding the Third Proportional to 4,234,153.50 and 9,144,819

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Solution

The third proportional to 4,234,153.50 and 9,144,819 is: 19,750,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234,153.50 : 9,144,819 = 9,144,819 : x
  2. Step 2: Convert to fraction form
    4,234,153.50/9,144,819 = 9,144,819/x
  3. Step 3: Cross multiply
    4,234,153.50x = 9,144,819 × 9,144,819
  4. Step 4: Simplify right side
    4,234,153.50x = 83,627,714,542,761
  5. Step 5: Solve for x
    x = 83,627,714,542,761/4,234,153.50
  6. Step 6: Final answer
    x = 19,750,751.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.