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Finding the Third Proportional to 600,232,568 and 1,300,662,192

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Solution

The third proportional to 600,232,568 and 1,300,662,192 is: 2,818,444,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,232,568 : 1,300,662,192 = 1,300,662,192 : x
  2. Step 2: Convert to fraction form
    600,232,568/1,300,662,192 = 1,300,662,192/x
  3. Step 3: Cross multiply
    600,232,568x = 1,300,662,192 × 1,300,662,192
  4. Step 4: Simplify right side
    600,232,568x = 1,691,722,137,698,244,864
  5. Step 5: Solve for x
    x = 1,691,722,137,698,244,864/600,232,568
  6. Step 6: Final answer
    x = 2,818,444,429.52

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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.