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Finding the Third Proportional to 322,307,117 and 690,561,580

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Solution

The third proportional to 322,307,117 and 690,561,580 is: 1,479,567,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,307,117 : 690,561,580 = 690,561,580 : x
  2. Step 2: Convert to fraction form
    322,307,117/690,561,580 = 690,561,580/x
  3. Step 3: Cross multiply
    322,307,117x = 690,561,580 × 690,561,580
  4. Step 4: Simplify right side
    322,307,117x = 476,875,295,772,096,384
  5. Step 5: Solve for x
    x = 476,875,295,772,096,384/322,307,117
  6. Step 6: Final answer
    x = 1,479,567,997.79

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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.