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Finding the Third Proportional to 521,826,696 and 1,118,351,268

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Solution

The third proportional to 521,826,696 and 1,118,351,268 is: 2,396,791,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,826,696 : 1,118,351,268 = 1,118,351,268 : x
  2. Step 2: Convert to fraction form
    521,826,696/1,118,351,268 = 1,118,351,268/x
  3. Step 3: Cross multiply
    521,826,696x = 1,118,351,268 × 1,118,351,268
  4. Step 4: Simplify right side
    521,826,696x = 1,250,709,558,637,207,808
  5. Step 5: Solve for x
    x = 1,250,709,558,637,207,808/521,826,696
  6. Step 6: Final answer
    x = 2,396,791,057.69

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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.