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Finding the Third Proportional to 8,554,947 and 19,022,604

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Solution

The third proportional to 8,554,947 and 19,022,604 is: 42,298,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554,947 : 19,022,604 = 19,022,604 : x
  2. Step 2: Convert to fraction form
    8,554,947/19,022,604 = 19,022,604/x
  3. Step 3: Cross multiply
    8,554,947x = 19,022,604 × 19,022,604
  4. Step 4: Simplify right side
    8,554,947x = 361,859,462,940,816
  5. Step 5: Solve for x
    x = 361,859,462,940,816/8,554,947
  6. Step 6: Final answer
    x = 42,298,270.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.