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Finding the Third Proportional to 706,486,923,706.50 and 1,540,840,545,423

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Solution

The third proportional to 706,486,923,706.50 and 1,540,840,545,423 is: 3,360,557,013,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,486,923,706.50 : 1,540,840,545,423 = 1,540,840,545,423 : x
  2. Step 2: Convert to fraction form
    706,486,923,706.50/1,540,840,545,423 = 1,540,840,545,423/x
  3. Step 3: Cross multiply
    706,486,923,706.50x = 1,540,840,545,423 × 1,540,840,545,423
  4. Step 4: Simplify right side
    706,486,923,706.50x = 2,374,189,586,419,448,067,129,344
  5. Step 5: Solve for x
    x = 2,374,189,586,419,448,067,129,344/706,486,923,706.50
  6. Step 6: Final answer
    x = 3,360,557,013,516.32

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Why These Related Problems?

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