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Finding the Third Proportional to 2,838,468 and 6,149,382

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Solution

The third proportional to 2,838,468 and 6,149,382 is: 13,322,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,468 : 6,149,382 = 6,149,382 : x
  2. Step 2: Convert to fraction form
    2,838,468/6,149,382 = 6,149,382/x
  3. Step 3: Cross multiply
    2,838,468x = 6,149,382 × 6,149,382
  4. Step 4: Simplify right side
    2,838,468x = 37,814,898,981,924
  5. Step 5: Solve for x
    x = 37,814,898,981,924/2,838,468
  6. Step 6: Final answer
    x = 13,322,291.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.