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Finding the Third Proportional to 70,012,372,463 and 150,643,414,033

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Solution

The third proportional to 70,012,372,463 and 150,643,414,033 is: 324,134,683,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,012,372,463 : 150,643,414,033 = 150,643,414,033 : x
  2. Step 2: Convert to fraction form
    70,012,372,463/150,643,414,033 = 150,643,414,033/x
  3. Step 3: Cross multiply
    70,012,372,463x = 150,643,414,033 × 150,643,414,033
  4. Step 4: Simplify right side
    70,012,372,463x = 22,693,438,191,517,862,723,584
  5. Step 5: Solve for x
    x = 22,693,438,191,517,862,723,584/70,012,372,463
  6. Step 6: Final answer
    x = 324,134,683,530.56

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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.