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Finding the Third Proportional to 6,057,776,233 and 9,305,486,003

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Solution

The third proportional to 6,057,776,233 and 9,305,486,003 is: 14,294,365,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,776,233 : 9,305,486,003 = 9,305,486,003 : x
  2. Step 2: Convert to fraction form
    6,057,776,233/9,305,486,003 = 9,305,486,003/x
  3. Step 3: Cross multiply
    6,057,776,233x = 9,305,486,003 × 9,305,486,003
  4. Step 4: Simplify right side
    6,057,776,233x = 86,592,069,752,028,921,856
  5. Step 5: Solve for x
    x = 86,592,069,752,028,921,856/6,057,776,233
  6. Step 6: Final answer
    x = 14,294,365,856.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.