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Finding the Third Proportional to 5,825,646 and 8,738,466

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Solution

The third proportional to 5,825,646 and 8,738,466 is: 13,107,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,646 : 8,738,466 = 8,738,466 : x
  2. Step 2: Convert to fraction form
    5,825,646/8,738,466 = 8,738,466/x
  3. Step 3: Cross multiply
    5,825,646x = 8,738,466 × 8,738,466
  4. Step 4: Simplify right side
    5,825,646x = 76,360,788,033,156
  5. Step 5: Solve for x
    x = 76,360,788,033,156/5,825,646
  6. Step 6: Final answer
    x = 13,107,694.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.