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Finding the Third Proportional to 17,713,378,395 and 39,037,307,511

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Solution

The third proportional to 17,713,378,395 and 39,037,307,511 is: 86,031,661,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713,378,395 : 39,037,307,511 = 39,037,307,511 : x
  2. Step 2: Convert to fraction form
    17,713,378,395/39,037,307,511 = 39,037,307,511/x
  3. Step 3: Cross multiply
    17,713,378,395x = 39,037,307,511 × 39,037,307,511
  4. Step 4: Simplify right side
    17,713,378,395x = 1,523,911,377,708,376,915,968
  5. Step 5: Solve for x
    x = 1,523,911,377,708,376,915,968/17,713,378,395
  6. Step 6: Final answer
    x = 86,031,661,703.71

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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.