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Finding the Third Proportional to 363,236,410 and 563,993,943

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Solution

The third proportional to 363,236,410 and 563,993,943 is: 875,708,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,236,410 : 563,993,943 = 563,993,943 : x
  2. Step 2: Convert to fraction form
    363,236,410/563,993,943 = 563,993,943/x
  3. Step 3: Cross multiply
    363,236,410x = 563,993,943 × 563,993,943
  4. Step 4: Simplify right side
    363,236,410x = 318,089,167,740,687,232
  5. Step 5: Solve for x
    x = 318,089,167,740,687,232/363,236,410
  6. Step 6: Final answer
    x = 875,708,378.85

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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.