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Finding the Third Proportional to 7,676,666,686 and 11,794,349,919

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Solution

The third proportional to 7,676,666,686 and 11,794,349,919 is: 18,120,715,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,666,686 : 11,794,349,919 = 11,794,349,919 : x
  2. Step 2: Convert to fraction form
    7,676,666,686/11,794,349,919 = 11,794,349,919/x
  3. Step 3: Cross multiply
    7,676,666,686x = 11,794,349,919 × 11,794,349,919
  4. Step 4: Simplify right side
    7,676,666,686x = 139,106,690,011,815,313,408
  5. Step 5: Solve for x
    x = 139,106,690,011,815,313,408/7,676,666,686
  6. Step 6: Final answer
    x = 18,120,715,110.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.