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Finding the Third Proportional to 253,570,986 and 382,351,974.75

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Solution

The third proportional to 253,570,986 and 382,351,974.75 is: 576,536,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,570,986 : 382,351,974.75 = 382,351,974.75 : x
  2. Step 2: Convert to fraction form
    253,570,986/382,351,974.75 = 382,351,974.75/x
  3. Step 3: Cross multiply
    253,570,986x = 382,351,974.75 × 382,351,974.75
  4. Step 4: Simplify right side
    253,570,986x = 146,193,032,595,224,640
  5. Step 5: Solve for x
    x = 146,193,032,595,224,640/253,570,986
  6. Step 6: Final answer
    x = 576,536,909.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.