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Finding the Third Proportional to 567,239,976 and 1,233,865,980

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Solution

The third proportional to 567,239,976 and 1,233,865,980 is: 2,683,917,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,239,976 : 1,233,865,980 = 1,233,865,980 : x
  2. Step 2: Convert to fraction form
    567,239,976/1,233,865,980 = 1,233,865,980/x
  3. Step 3: Cross multiply
    567,239,976x = 1,233,865,980 × 1,233,865,980
  4. Step 4: Simplify right side
    567,239,976x = 1,522,425,256,601,360,384
  5. Step 5: Solve for x
    x = 1,522,425,256,601,360,384/567,239,976
  6. Step 6: Final answer
    x = 2,683,917,426.51

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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.