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Finding the Third Proportional to 6,284,653.11 and 13,499,392.85

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Solution

The third proportional to 6,284,653.11 and 13,499,392.85 is: 28,996,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284,653.11 : 13,499,392.85 = 13,499,392.85 : x
  2. Step 2: Convert to fraction form
    6,284,653.11/13,499,392.85 = 13,499,392.85/x
  3. Step 3: Cross multiply
    6,284,653.11x = 13,499,392.85 × 13,499,392.85
  4. Step 4: Simplify right side
    6,284,653.11x = 182,233,607,390,447.91
  5. Step 5: Solve for x
    x = 182,233,607,390,447.91/6,284,653.11
  6. Step 6: Final answer
    x = 28,996,605.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.