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Finding the Third Proportional to 24,223,597,158,472 and 52,121,150,129,515

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Solution

The third proportional to 24,223,597,158,472 and 52,121,150,129,515 is: 112,147,435,124,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223,597,158,472 : 52,121,150,129,515 = 52,121,150,129,515 : x
  2. Step 2: Convert to fraction form
    24,223,597,158,472/52,121,150,129,515 = 52,121,150,129,515/x
  3. Step 3: Cross multiply
    24,223,597,158,472x = 52,121,150,129,515 × 52,121,150,129,515
  4. Step 4: Simplify right side
    24,223,597,158,472x = 2,716,614,290,823,441,645,427,490,816
  5. Step 5: Solve for x
    x = 2,716,614,290,823,441,645,427,490,816/24,223,597,158,472
  6. Step 6: Final answer
    x = 112,147,435,124,982.19

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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.