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Finding the Third Proportional to 17,684,025 and 28,120,329

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Solution

The third proportional to 17,684,025 and 28,120,329 is: 44,715,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684,025 : 28,120,329 = 28,120,329 : x
  2. Step 2: Convert to fraction form
    17,684,025/28,120,329 = 28,120,329/x
  3. Step 3: Cross multiply
    17,684,025x = 28,120,329 × 28,120,329
  4. Step 4: Simplify right side
    17,684,025x = 790,752,903,068,241
  5. Step 5: Solve for x
    x = 790,752,903,068,241/17,684,025
  6. Step 6: Final answer
    x = 44,715,663.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.