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Finding the Third Proportional to 12,385,568,709,498 and 17,221,143,277,239

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Solution

The third proportional to 12,385,568,709,498 and 17,221,143,277,239 is: 23,944,623,192,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385,568,709,498 : 17,221,143,277,239 = 17,221,143,277,239 : x
  2. Step 2: Convert to fraction form
    12,385,568,709,498/17,221,143,277,239 = 17,221,143,277,239/x
  3. Step 3: Cross multiply
    12,385,568,709,498x = 17,221,143,277,239 × 17,221,143,277,239
  4. Step 4: Simplify right side
    12,385,568,709,498x = 296,567,775,775,194,000,165,699,584
  5. Step 5: Solve for x
    x = 296,567,775,775,194,000,165,699,584/12,385,568,709,498
  6. Step 6: Final answer
    x = 23,944,623,192,616.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.