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Finding the Third Proportional to 356,394,048 and 567,098,640

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Solution

The third proportional to 356,394,048 and 567,098,640 is: 902,374,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,394,048 : 567,098,640 = 567,098,640 : x
  2. Step 2: Convert to fraction form
    356,394,048/567,098,640 = 567,098,640/x
  3. Step 3: Cross multiply
    356,394,048x = 567,098,640 × 567,098,640
  4. Step 4: Simplify right side
    356,394,048x = 321,600,867,489,849,600
  5. Step 5: Solve for x
    x = 321,600,867,489,849,600/356,394,048
  6. Step 6: Final answer
    x = 902,374,406.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.