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Finding the Third Proportional to 5,760,545,760 and 12,567,758,928

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Solution

The third proportional to 5,760,545,760 and 12,567,758,928 is: 27,419,027,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760,545,760 : 12,567,758,928 = 12,567,758,928 : x
  2. Step 2: Convert to fraction form
    5,760,545,760/12,567,758,928 = 12,567,758,928/x
  3. Step 3: Cross multiply
    5,760,545,760x = 12,567,758,928 × 12,567,758,928
  4. Step 4: Simplify right side
    5,760,545,760x = 157,948,564,472,323,702,784
  5. Step 5: Solve for x
    x = 157,948,564,472,323,702,784/5,760,545,760
  6. Step 6: Final answer
    x = 27,419,027,823.56

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