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Finding the Third Proportional to 6,825,576 and 14,936,784

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Solution

The third proportional to 6,825,576 and 14,936,784 is: 32,686,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,576 : 14,936,784 = 14,936,784 : x
  2. Step 2: Convert to fraction form
    6,825,576/14,936,784 = 14,936,784/x
  3. Step 3: Cross multiply
    6,825,576x = 14,936,784 × 14,936,784
  4. Step 4: Simplify right side
    6,825,576x = 223,107,516,262,656
  5. Step 5: Solve for x
    x = 223,107,516,262,656/6,825,576
  6. Step 6: Final answer
    x = 32,686,987.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.