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Finding the Third Proportional to 437,131,118 and 713,720,214

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Solution

The third proportional to 437,131,118 and 713,720,214 is: 1,165,317,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,131,118 : 713,720,214 = 713,720,214 : x
  2. Step 2: Convert to fraction form
    437,131,118/713,720,214 = 713,720,214/x
  3. Step 3: Cross multiply
    437,131,118x = 713,720,214 × 713,720,214
  4. Step 4: Simplify right side
    437,131,118x = 509,396,543,872,205,824
  5. Step 5: Solve for x
    x = 509,396,543,872,205,824/437,131,118
  6. Step 6: Final answer
    x = 1,165,317,505.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.