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Finding the Third Proportional to 70,012,372,459 and 150,643,414,029

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Solution

The third proportional to 70,012,372,459 and 150,643,414,029 is: 324,134,683,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,012,372,459 : 150,643,414,029 = 150,643,414,029 : x
  2. Step 2: Convert to fraction form
    70,012,372,459/150,643,414,029 = 150,643,414,029/x
  3. Step 3: Cross multiply
    70,012,372,459x = 150,643,414,029 × 150,643,414,029
  4. Step 4: Simplify right side
    70,012,372,459x = 22,693,438,190,312,713,355,264
  5. Step 5: Solve for x
    x = 22,693,438,190,312,713,355,264/70,012,372,459
  6. Step 6: Final answer
    x = 324,134,683,531.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.