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Finding the Third Proportional to 71,589,423,253.50 and 107,683,020,690

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Solution

The third proportional to 71,589,423,253.50 and 107,683,020,690 is: 161,974,107,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,589,423,253.50 : 107,683,020,690 = 107,683,020,690 : x
  2. Step 2: Convert to fraction form
    71,589,423,253.50/107,683,020,690 = 107,683,020,690/x
  3. Step 3: Cross multiply
    71,589,423,253.50x = 107,683,020,690 × 107,683,020,690
  4. Step 4: Simplify right side
    71,589,423,253.50x = 11,595,632,944,922,968,981,504
  5. Step 5: Solve for x
    x = 11,595,632,944,922,968,981,504/71,589,423,253.50
  6. Step 6: Final answer
    x = 161,974,107,597.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.