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Finding the Third Proportional to 363,236,357 and 563,993,863.50

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Solution

The third proportional to 363,236,357 and 563,993,863.50 is: 875,708,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,236,357 : 563,993,863.50 = 563,993,863.50 : x
  2. Step 2: Convert to fraction form
    363,236,357/563,993,863.50 = 563,993,863.50/x
  3. Step 3: Cross multiply
    363,236,357x = 563,993,863.50 × 563,993,863.50
  4. Step 4: Simplify right side
    363,236,357x = 318,089,078,065,656,640
  5. Step 5: Solve for x
    x = 318,089,078,065,656,640/363,236,357
  6. Step 6: Final answer
    x = 875,708,259.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.