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Finding the Third Proportional to 521,826,642 and 1,118,351,160

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Solution

The third proportional to 521,826,642 and 1,118,351,160 is: 2,396,790,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,826,642 : 1,118,351,160 = 1,118,351,160 : x
  2. Step 2: Convert to fraction form
    521,826,642/1,118,351,160 = 1,118,351,160/x
  3. Step 3: Cross multiply
    521,826,642x = 1,118,351,160 × 1,118,351,160
  4. Step 4: Simplify right side
    521,826,642x = 1,250,709,317,073,345,536
  5. Step 5: Solve for x
    x = 1,250,709,317,073,345,536/521,826,642
  6. Step 6: Final answer
    x = 2,396,790,842.80

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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.