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Finding the Third Proportional to 16,991,406,992 and 26,654,503,791

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Solution

The third proportional to 16,991,406,992 and 26,654,503,791 is: 41,813,051,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991,406,992 : 26,654,503,791 = 26,654,503,791 : x
  2. Step 2: Convert to fraction form
    16,991,406,992/26,654,503,791 = 26,654,503,791/x
  3. Step 3: Cross multiply
    16,991,406,992x = 26,654,503,791 × 26,654,503,791
  4. Step 4: Simplify right side
    16,991,406,992x = 710,462,572,344,433,311,744
  5. Step 5: Solve for x
    x = 710,462,572,344,433,311,744/16,991,406,992
  6. Step 6: Final answer
    x = 41,813,051,307.58

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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.