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Finding the Third Proportional to 6,824,287.13 and 14,853,682.13

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Solution

The third proportional to 6,824,287.13 and 14,853,682.13 is: 32,330,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824,287.13 : 14,853,682.13 = 14,853,682.13 : x
  2. Step 2: Convert to fraction form
    6,824,287.13/14,853,682.13 = 14,853,682.13/x
  3. Step 3: Cross multiply
    6,824,287.13x = 14,853,682.13 × 14,853,682.13
  4. Step 4: Simplify right side
    6,824,287.13x = 220,631,872,670,544.50
  5. Step 5: Solve for x
    x = 220,631,872,670,544.50/6,824,287.13
  6. Step 6: Final answer
    x = 32,330,391.24

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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.