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Finding the Third Proportional to 70,012,372,457.25 and 150,643,414,024.88

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Solution

The third proportional to 70,012,372,457.25 and 150,643,414,024.88 is: 324,134,683,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,012,372,457.25 : 150,643,414,024.88 = 150,643,414,024.88 : x
  2. Step 2: Convert to fraction form
    70,012,372,457.25/150,643,414,024.88 = 150,643,414,024.88/x
  3. Step 3: Cross multiply
    70,012,372,457.25x = 150,643,414,024.88 × 150,643,414,024.88
  4. Step 4: Simplify right side
    70,012,372,457.25x = 22,693,438,189,071,413,280,768
  5. Step 5: Solve for x
    x = 22,693,438,189,071,413,280,768/70,012,372,457.25
  6. Step 6: Final answer
    x = 324,134,683,522.23

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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.