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Finding the Third Proportional to 17,480,969,472 and 38,448,723,408

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Solution

The third proportional to 17,480,969,472 and 38,448,723,408 is: 84,566,495,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480,969,472 : 38,448,723,408 = 38,448,723,408 : x
  2. Step 2: Convert to fraction form
    17,480,969,472/38,448,723,408 = 38,448,723,408/x
  3. Step 3: Cross multiply
    17,480,969,472x = 38,448,723,408 × 38,448,723,408
  4. Step 4: Simplify right side
    17,480,969,472x = 1,478,304,331,704,887,148,544
  5. Step 5: Solve for x
    x = 1,478,304,331,704,887,148,544/17,480,969,472
  6. Step 6: Final answer
    x = 84,566,495,815.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.