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Finding the Third Proportional to 3,031,691,796 and 6,597,226,926

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Solution

The third proportional to 3,031,691,796 and 6,597,226,926 is: 14,356,143,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,691,796 : 6,597,226,926 = 6,597,226,926 : x
  2. Step 2: Convert to fraction form
    3,031,691,796/6,597,226,926 = 6,597,226,926/x
  3. Step 3: Cross multiply
    3,031,691,796x = 6,597,226,926 × 6,597,226,926
  4. Step 4: Simplify right side
    3,031,691,796x = 43,523,403,113,139,412,992
  5. Step 5: Solve for x
    x = 43,523,403,113,139,412,992/3,031,691,796
  6. Step 6: Final answer
    x = 14,356,143,711.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.