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Finding the Third Proportional to 1,301,394,090 and 1,982,584,476

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Solution

The third proportional to 1,301,394,090 and 1,982,584,476 is: 3,020,331,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,394,090 : 1,982,584,476 = 1,982,584,476 : x
  2. Step 2: Convert to fraction form
    1,301,394,090/1,982,584,476 = 1,982,584,476/x
  3. Step 3: Cross multiply
    1,301,394,090x = 1,982,584,476 × 1,982,584,476
  4. Step 4: Simplify right side
    1,301,394,090x = 3,930,641,204,476,194,816
  5. Step 5: Solve for x
    x = 3,930,641,204,476,194,816/1,301,394,090
  6. Step 6: Final answer
    x = 3,020,331,223.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.