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Finding the Third Proportional to 7,824,140 and 16,950,596

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Solution

The third proportional to 7,824,140 and 16,950,596 is: 36,722,592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,140 : 16,950,596 = 16,950,596 : x
  2. Step 2: Convert to fraction form
    7,824,140/16,950,596 = 16,950,596/x
  3. Step 3: Cross multiply
    7,824,140x = 16,950,596 × 16,950,596
  4. Step 4: Simplify right side
    7,824,140x = 287,322,704,755,216
  5. Step 5: Solve for x
    x = 287,322,704,755,216/7,824,140
  6. Step 6: Final answer
    x = 36,722,592.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.