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Finding the Third Proportional to 5,966,241,916 and 8,295,582,493

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Solution

The third proportional to 5,966,241,916 and 8,295,582,493 is: 11,534,344,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966,241,916 : 8,295,582,493 = 8,295,582,493 : x
  2. Step 2: Convert to fraction form
    5,966,241,916/8,295,582,493 = 8,295,582,493/x
  3. Step 3: Cross multiply
    5,966,241,916x = 8,295,582,493 × 8,295,582,493
  4. Step 4: Simplify right side
    5,966,241,916x = 68,816,688,898,168,094,720
  5. Step 5: Solve for x
    x = 68,816,688,898,168,094,720/5,966,241,916
  6. Step 6: Final answer
    x = 11,534,344,377.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.