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Finding the Third Proportional to 582,592,512 and 1,247,824,116

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Solution

The third proportional to 582,592,512 and 1,247,824,116 is: 2,672,648,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,592,512 : 1,247,824,116 = 1,247,824,116 : x
  2. Step 2: Convert to fraction form
    582,592,512/1,247,824,116 = 1,247,824,116/x
  3. Step 3: Cross multiply
    582,592,512x = 1,247,824,116 × 1,247,824,116
  4. Step 4: Simplify right side
    582,592,512x = 1,557,065,024,471,181,568
  5. Step 5: Solve for x
    x = 1,557,065,024,471,181,568/582,592,512
  6. Step 6: Final answer
    x = 2,672,648,536.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.