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Finding the Third Proportional to 5,039,534 and 7,782,093

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Solution

The third proportional to 5,039,534 and 7,782,093 is: 12,017,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039,534 : 7,782,093 = 7,782,093 : x
  2. Step 2: Convert to fraction form
    5,039,534/7,782,093 = 7,782,093/x
  3. Step 3: Cross multiply
    5,039,534x = 7,782,093 × 7,782,093
  4. Step 4: Simplify right side
    5,039,534x = 60,560,971,460,649
  5. Step 5: Solve for x
    x = 60,560,971,460,649/5,039,534
  6. Step 6: Final answer
    x = 12,017,176.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.