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Finding the Third Proportional to 2,279,070 and 4,863,196.13

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Solution

The third proportional to 2,279,070 and 4,863,196.13 is: 10,377,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279,070 : 4,863,196.13 = 4,863,196.13 : x
  2. Step 2: Convert to fraction form
    2,279,070/4,863,196.13 = 4,863,196.13/x
  3. Step 3: Cross multiply
    2,279,070x = 4,863,196.13 × 4,863,196.13
  4. Step 4: Simplify right side
    2,279,070x = 23,650,676,550,215.02
  5. Step 5: Solve for x
    x = 23,650,676,550,215.02/2,279,070
  6. Step 6: Final answer
    x = 10,377,336.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.