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Finding the Third Proportional to 6,635,576 and 14,556,784

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Solution

The third proportional to 6,635,576 and 14,556,784 is: 31,933,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635,576 : 14,556,784 = 14,556,784 : x
  2. Step 2: Convert to fraction form
    6,635,576/14,556,784 = 14,556,784/x
  3. Step 3: Cross multiply
    6,635,576x = 14,556,784 × 14,556,784
  4. Step 4: Simplify right side
    6,635,576x = 211,899,960,422,656
  5. Step 5: Solve for x
    x = 211,899,960,422,656/6,635,576
  6. Step 6: Final answer
    x = 31,933,921.10

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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.