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Finding the Third Proportional to 3,877,344 and 8,524,724

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Solution

The third proportional to 3,877,344 and 8,524,724 is: 18,742,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877,344 : 8,524,724 = 8,524,724 : x
  2. Step 2: Convert to fraction form
    3,877,344/8,524,724 = 8,524,724/x
  3. Step 3: Cross multiply
    3,877,344x = 8,524,724 × 8,524,724
  4. Step 4: Simplify right side
    3,877,344x = 72,670,919,276,176
  5. Step 5: Solve for x
    x = 72,670,919,276,176/3,877,344
  6. Step 6: Final answer
    x = 18,742,448.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.