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Finding the Third Proportional to 7,294,228 and 16,884,832

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Solution

The third proportional to 7,294,228 and 16,884,832 is: 39,085,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,228 : 16,884,832 = 16,884,832 : x
  2. Step 2: Convert to fraction form
    7,294,228/16,884,832 = 16,884,832/x
  3. Step 3: Cross multiply
    7,294,228x = 16,884,832 × 16,884,832
  4. Step 4: Simplify right side
    7,294,228x = 285,097,551,668,224
  5. Step 5: Solve for x
    x = 285,097,551,668,224/7,294,228
  6. Step 6: Final answer
    x = 39,085,363.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.