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Finding the Third Proportional to 22,839,611,316.75 and 34,915,879,470.38

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Solution

The third proportional to 22,839,611,316.75 and 34,915,879,470.38 is: 53,377,381,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839,611,316.75 : 34,915,879,470.38 = 34,915,879,470.38 : x
  2. Step 2: Convert to fraction form
    22,839,611,316.75/34,915,879,470.38 = 34,915,879,470.38/x
  3. Step 3: Cross multiply
    22,839,611,316.75x = 34,915,879,470.38 × 34,915,879,470.38
  4. Step 4: Simplify right side
    22,839,611,316.75x = 1,219,118,639,189,754,380,288
  5. Step 5: Solve for x
    x = 1,219,118,639,189,754,380,288/22,839,611,316.75
  6. Step 6: Final answer
    x = 53,377,381,177.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.