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Finding the Third Proportional to 6,033,348 and 8,439,446

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Solution

The third proportional to 6,033,348 and 8,439,446 is: 11,805,095.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033,348 : 8,439,446 = 8,439,446 : x
  2. Step 2: Convert to fraction form
    6,033,348/8,439,446 = 8,439,446/x
  3. Step 3: Cross multiply
    6,033,348x = 8,439,446 × 8,439,446
  4. Step 4: Simplify right side
    6,033,348x = 71,224,248,786,916
  5. Step 5: Solve for x
    x = 71,224,248,786,916/6,033,348
  6. Step 6: Final answer
    x = 11,805,095.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.