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Finding the Third Proportional to 6,810,544.13 and 14,816,827.13

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Solution

The third proportional to 6,810,544.13 and 14,816,827.13 is: 32,235,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,544.13 : 14,816,827.13 = 14,816,827.13 : x
  2. Step 2: Convert to fraction form
    6,810,544.13/14,816,827.13 = 14,816,827.13/x
  3. Step 3: Cross multiply
    6,810,544.13x = 14,816,827.13 × 14,816,827.13
  4. Step 4: Simplify right side
    6,810,544.13x = 219,538,366,052,135.75
  5. Step 5: Solve for x
    x = 219,538,366,052,135.75/6,810,544.13
  6. Step 6: Final answer
    x = 32,235,069.92

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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.