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Finding the Third Proportional to 5,839,900 and 7,811,658

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Solution

The third proportional to 5,839,900 and 7,811,658 is: 10,449,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839,900 : 7,811,658 = 7,811,658 : x
  2. Step 2: Convert to fraction form
    5,839,900/7,811,658 = 7,811,658/x
  3. Step 3: Cross multiply
    5,839,900x = 7,811,658 × 7,811,658
  4. Step 4: Simplify right side
    5,839,900x = 61,022,000,708,964
  5. Step 5: Solve for x
    x = 61,022,000,708,964/5,839,900
  6. Step 6: Final answer
    x = 10,449,151.65

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.