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Finding the Third Proportional to 567,240,808 and 1,233,868,112

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Solution

The third proportional to 567,240,808 and 1,233,868,112 is: 2,683,922,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,240,808 : 1,233,868,112 = 1,233,868,112 : x
  2. Step 2: Convert to fraction form
    567,240,808/1,233,868,112 = 1,233,868,112/x
  3. Step 3: Cross multiply
    567,240,808x = 1,233,868,112 × 1,233,868,112
  4. Step 4: Simplify right side
    567,240,808x = 1,522,430,517,810,444,544
  5. Step 5: Solve for x
    x = 1,522,430,517,810,444,544/567,240,808
  6. Step 6: Final answer
    x = 2,683,922,764.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.