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Finding the Third Proportional to 2,725,598,202.75 and 5,916,368,160

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Solution

The third proportional to 2,725,598,202.75 and 5,916,368,160 is: 12,842,469,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,598,202.75 : 5,916,368,160 = 5,916,368,160 : x
  2. Step 2: Convert to fraction form
    2,725,598,202.75/5,916,368,160 = 5,916,368,160/x
  3. Step 3: Cross multiply
    2,725,598,202.75x = 5,916,368,160 × 5,916,368,160
  4. Step 4: Simplify right side
    2,725,598,202.75x = 35,003,412,204,661,784,576
  5. Step 5: Solve for x
    x = 35,003,412,204,661,784,576/2,725,598,202.75
  6. Step 6: Final answer
    x = 12,842,469,652.84

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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.