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Finding the Third Proportional to 521,826,640 and 1,118,351,156

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Solution

The third proportional to 521,826,640 and 1,118,351,156 is: 2,396,790,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,826,640 : 1,118,351,156 = 1,118,351,156 : x
  2. Step 2: Convert to fraction form
    521,826,640/1,118,351,156 = 1,118,351,156/x
  3. Step 3: Cross multiply
    521,826,640x = 1,118,351,156 × 1,118,351,156
  4. Step 4: Simplify right side
    521,826,640x = 1,250,709,308,126,536,448
  5. Step 5: Solve for x
    x = 1,250,709,308,126,536,448/521,826,640
  6. Step 6: Final answer
    x = 2,396,790,834.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.