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Finding the Third Proportional to 34,225,520,762 and 73,161,170,302

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Solution

The third proportional to 34,225,520,762 and 73,161,170,302 is: 156,390,807,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225,520,762 : 73,161,170,302 = 73,161,170,302 : x
  2. Step 2: Convert to fraction form
    34,225,520,762/73,161,170,302 = 73,161,170,302/x
  3. Step 3: Cross multiply
    34,225,520,762x = 73,161,170,302 × 73,161,170,302
  4. Step 4: Simplify right side
    34,225,520,762x = 5,352,556,839,958,247,112,704
  5. Step 5: Solve for x
    x = 5,352,556,839,958,247,112,704/34,225,520,762
  6. Step 6: Final answer
    x = 156,390,807,817.92

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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.