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Finding the Third Proportional to 10,725,079.50 and 13,770,711

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Solution

The third proportional to 10,725,079.50 and 13,770,711 is: 17,681,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725,079.50 : 13,770,711 = 13,770,711 : x
  2. Step 2: Convert to fraction form
    10,725,079.50/13,770,711 = 13,770,711/x
  3. Step 3: Cross multiply
    10,725,079.50x = 13,770,711 × 13,770,711
  4. Step 4: Simplify right side
    10,725,079.50x = 189,632,481,445,521
  5. Step 5: Solve for x
    x = 189,632,481,445,521/10,725,079.50
  6. Step 6: Final answer
    x = 17,681,219.19

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.