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Finding the Third Proportional to 66,289,825,170 and 142,035,048,612

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Solution

The third proportional to 66,289,825,170 and 142,035,048,612 is: 304,329,585,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,289,825,170 : 142,035,048,612 = 142,035,048,612 : x
  2. Step 2: Convert to fraction form
    66,289,825,170/142,035,048,612 = 142,035,048,612/x
  3. Step 3: Cross multiply
    66,289,825,170x = 142,035,048,612 × 142,035,048,612
  4. Step 4: Simplify right side
    66,289,825,170x = 20,173,955,034,213,204,885,504
  5. Step 5: Solve for x
    x = 20,173,955,034,213,204,885,504/66,289,825,170
  6. Step 6: Final answer
    x = 304,329,585,761.88

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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.