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Finding the Third Proportional to 535,098,843.38 and 818,641,317.56

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Solution

The third proportional to 535,098,843.38 and 818,641,317.56 is: 1,252,429,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,098,843.38 : 818,641,317.56 = 818,641,317.56 : x
  2. Step 2: Convert to fraction form
    535,098,843.38/818,641,317.56 = 818,641,317.56/x
  3. Step 3: Cross multiply
    535,098,843.38x = 818,641,317.56 × 818,641,317.56
  4. Step 4: Simplify right side
    535,098,843.38x = 670,173,606,820,465,920
  5. Step 5: Solve for x
    x = 670,173,606,820,465,920/535,098,843.38
  6. Step 6: Final answer
    x = 1,252,429,555.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.