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Finding the Third Proportional to 3,023,384 and 6,578,180

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Solution

The third proportional to 3,023,384 and 6,578,180 is: 14,312,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,384 : 6,578,180 = 6,578,180 : x
  2. Step 2: Convert to fraction form
    3,023,384/6,578,180 = 6,578,180/x
  3. Step 3: Cross multiply
    3,023,384x = 6,578,180 × 6,578,180
  4. Step 4: Simplify right side
    3,023,384x = 43,272,452,112,400
  5. Step 5: Solve for x
    x = 43,272,452,112,400/3,023,384
  6. Step 6: Final answer
    x = 14,312,588.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.