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Finding the Third Proportional to 5,102,336 and 10,826,624

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Solution

The third proportional to 5,102,336 and 10,826,624 is: 22,972,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,336 : 10,826,624 = 10,826,624 : x
  2. Step 2: Convert to fraction form
    5,102,336/10,826,624 = 10,826,624/x
  3. Step 3: Cross multiply
    5,102,336x = 10,826,624 × 10,826,624
  4. Step 4: Simplify right side
    5,102,336x = 117,215,787,237,376
  5. Step 5: Solve for x
    x = 117,215,787,237,376/5,102,336
  6. Step 6: Final answer
    x = 22,972,965.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.