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Finding the Third Proportional to 8,378,323 and 18,249,619

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Solution

The third proportional to 8,378,323 and 18,249,619 is: 39,751,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,323 : 18,249,619 = 18,249,619 : x
  2. Step 2: Convert to fraction form
    8,378,323/18,249,619 = 18,249,619/x
  3. Step 3: Cross multiply
    8,378,323x = 18,249,619 × 18,249,619
  4. Step 4: Simplify right side
    8,378,323x = 333,048,593,645,161
  5. Step 5: Solve for x
    x = 333,048,593,645,161/8,378,323
  6. Step 6: Final answer
    x = 39,751,223.92

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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.