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Finding the Third Proportional to 23,874,045,941,850 and 36,673,455,286,448

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Solution

The third proportional to 23,874,045,941,850 and 36,673,455,286,448 is: 56,334,913,902,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874,045,941,850 : 36,673,455,286,448 = 36,673,455,286,448 : x
  2. Step 2: Convert to fraction form
    23,874,045,941,850/36,673,455,286,448 = 36,673,455,286,448/x
  3. Step 3: Cross multiply
    23,874,045,941,850x = 36,673,455,286,448 × 36,673,455,286,448
  4. Step 4: Simplify right side
    23,874,045,941,850x = 1,344,942,322,647,100,667,889,451,008
  5. Step 5: Solve for x
    x = 1,344,942,322,647,100,667,889,451,008/23,874,045,941,850
  6. Step 6: Final answer
    x = 56,334,913,902,862.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.