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Finding the Third Proportional to 2,725,598,217 and 5,916,368,190.75

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Solution

The third proportional to 2,725,598,217 and 5,916,368,190.75 is: 12,842,469,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,598,217 : 5,916,368,190.75 = 5,916,368,190.75 : x
  2. Step 2: Convert to fraction form
    2,725,598,217/5,916,368,190.75 = 5,916,368,190.75/x
  3. Step 3: Cross multiply
    2,725,598,217x = 5,916,368,190.75 × 5,916,368,190.75
  4. Step 4: Simplify right side
    2,725,598,217x = 35,003,412,568,518,426,624
  5. Step 5: Solve for x
    x = 35,003,412,568,518,426,624/2,725,598,217
  6. Step 6: Final answer
    x = 12,842,469,719.20

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Why These Related Problems?

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