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Finding the Third Proportional to 409,861,950.75 and 633,945,268.13

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Solution

The third proportional to 409,861,950.75 and 633,945,268.13 is: 980,541,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,950.75 : 633,945,268.13 = 633,945,268.13 : x
  2. Step 2: Convert to fraction form
    409,861,950.75/633,945,268.13 = 633,945,268.13/x
  3. Step 3: Cross multiply
    409,861,950.75x = 633,945,268.13 × 633,945,268.13
  4. Step 4: Simplify right side
    409,861,950.75x = 401,886,602,978,078,144
  5. Step 5: Solve for x
    x = 401,886,602,978,078,144/409,861,950.75
  6. Step 6: Final answer
    x = 980,541,380.44

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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.