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Finding the Third Proportional to 5,908,782 and 12,852,844

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Solution

The third proportional to 5,908,782 and 12,852,844 is: 27,957,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908,782 : 12,852,844 = 12,852,844 : x
  2. Step 2: Convert to fraction form
    5,908,782/12,852,844 = 12,852,844/x
  3. Step 3: Cross multiply
    5,908,782x = 12,852,844 × 12,852,844
  4. Step 4: Simplify right side
    5,908,782x = 165,195,598,888,336
  5. Step 5: Solve for x
    x = 165,195,598,888,336/5,908,782
  6. Step 6: Final answer
    x = 27,957,639.81

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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.