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Finding the Third Proportional to 23,286,790,348 and 50,653,664,906

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Solution

The third proportional to 23,286,790,348 and 50,653,664,906 is: 110,182,370,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286,790,348 : 50,653,664,906 = 50,653,664,906 : x
  2. Step 2: Convert to fraction form
    23,286,790,348/50,653,664,906 = 50,653,664,906/x
  3. Step 3: Cross multiply
    23,286,790,348x = 50,653,664,906 × 50,653,664,906
  4. Step 4: Simplify right side
    23,286,790,348x = 2,565,793,768,409,335,857,152
  5. Step 5: Solve for x
    x = 2,565,793,768,409,335,857,152/23,286,790,348
  6. Step 6: Final answer
    x = 110,182,370,780.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.