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Finding the Third Proportional to 6,462,718.84 and 14,002,518.09

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Solution

The third proportional to 6,462,718.84 and 14,002,518.09 is: 30,338,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462,718.84 : 14,002,518.09 = 14,002,518.09 : x
  2. Step 2: Convert to fraction form
    6,462,718.84/14,002,518.09 = 14,002,518.09/x
  3. Step 3: Cross multiply
    6,462,718.84x = 14,002,518.09 × 14,002,518.09
  4. Step 4: Simplify right side
    6,462,718.84x = 196,070,512,965,796.12
  5. Step 5: Solve for x
    x = 196,070,512,965,796.12/6,462,718.84
  6. Step 6: Final answer
    x = 30,338,703.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.