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Finding the Third Proportional to 558,882,790,719 and 1,215,687,625,158

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Solution

The third proportional to 558,882,790,719 and 1,215,687,625,158 is: 2,644,376,292,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,882,790,719 : 1,215,687,625,158 = 1,215,687,625,158 : x
  2. Step 2: Convert to fraction form
    558,882,790,719/1,215,687,625,158 = 1,215,687,625,158/x
  3. Step 3: Cross multiply
    558,882,790,719x = 1,215,687,625,158 × 1,215,687,625,158
  4. Step 4: Simplify right side
    558,882,790,719x = 1,477,896,401,962,297,991,364,608
  5. Step 5: Solve for x
    x = 1,477,896,401,962,297,991,364,608/558,882,790,719
  6. Step 6: Final answer
    x = 2,644,376,292,318.81

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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.