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Finding the Third Proportional to 34,225,520,754 and 73,161,170,285

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Solution

The third proportional to 34,225,520,754 and 73,161,170,285 is: 156,390,807,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225,520,754 : 73,161,170,285 = 73,161,170,285 : x
  2. Step 2: Convert to fraction form
    34,225,520,754/73,161,170,285 = 73,161,170,285/x
  3. Step 3: Cross multiply
    34,225,520,754x = 73,161,170,285 × 73,161,170,285
  4. Step 4: Simplify right side
    34,225,520,754x = 5,352,556,837,470,766,891,008
  5. Step 5: Solve for x
    x = 5,352,556,837,470,766,891,008/34,225,520,754
  6. Step 6: Final answer
    x = 156,390,807,781.80

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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.