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Finding the Third Proportional to 582,629,084 and 1,248,362,168

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Solution

The third proportional to 582,629,084 and 1,248,362,168 is: 2,674,785,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,629,084 : 1,248,362,168 = 1,248,362,168 : x
  2. Step 2: Convert to fraction form
    582,629,084/1,248,362,168 = 1,248,362,168/x
  3. Step 3: Cross multiply
    582,629,084x = 1,248,362,168 × 1,248,362,168
  4. Step 4: Simplify right side
    582,629,084x = 1,558,408,102,493,660,160
  5. Step 5: Solve for x
    x = 1,558,408,102,493,660,160/582,629,084
  6. Step 6: Final answer
    x = 2,674,785,974.97

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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.