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Finding the Third Proportional to 633,015,760 and 1,349,644,256

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Solution

The third proportional to 633,015,760 and 1,349,644,256 is: 2,877,558,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,015,760 : 1,349,644,256 = 1,349,644,256 : x
  2. Step 2: Convert to fraction form
    633,015,760/1,349,644,256 = 1,349,644,256/x
  3. Step 3: Cross multiply
    633,015,760x = 1,349,644,256 × 1,349,644,256
  4. Step 4: Simplify right side
    633,015,760x = 1,821,539,617,753,793,536
  5. Step 5: Solve for x
    x = 1,821,539,617,753,793,536/633,015,760
  6. Step 6: Final answer
    x = 2,877,558,084.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.