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Finding the Third Proportional to 322,307,116 and 690,561,578

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Solution

The third proportional to 322,307,116 and 690,561,578 is: 1,479,567,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,307,116 : 690,561,578 = 690,561,578 : x
  2. Step 2: Convert to fraction form
    322,307,116/690,561,578 = 690,561,578/x
  3. Step 3: Cross multiply
    322,307,116x = 690,561,578 × 690,561,578
  4. Step 4: Simplify right side
    322,307,116x = 476,875,293,009,850,112
  5. Step 5: Solve for x
    x = 476,875,293,009,850,112/322,307,116
  6. Step 6: Final answer
    x = 1,479,567,993.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.