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Finding the Third Proportional to 16,991,406,660 and 26,654,503,260

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Solution

The third proportional to 16,991,406,660 and 26,654,503,260 is: 41,813,050,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991,406,660 : 26,654,503,260 = 26,654,503,260 : x
  2. Step 2: Convert to fraction form
    16,991,406,660/26,654,503,260 = 26,654,503,260/x
  3. Step 3: Cross multiply
    16,991,406,660x = 26,654,503,260 × 26,654,503,260
  4. Step 4: Simplify right side
    16,991,406,660x = 710,462,544,037,350,604,800
  5. Step 5: Solve for x
    x = 710,462,544,037,350,604,800/16,991,406,660
  6. Step 6: Final answer
    x = 41,813,050,458.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.