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Finding the Third Proportional to 274,612,464 and 414,472,436

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Solution

The third proportional to 274,612,464 and 414,472,436 is: 625,563,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,612,464 : 414,472,436 = 414,472,436 : x
  2. Step 2: Convert to fraction form
    274,612,464/414,472,436 = 414,472,436/x
  3. Step 3: Cross multiply
    274,612,464x = 414,472,436 × 414,472,436
  4. Step 4: Simplify right side
    274,612,464x = 171,787,400,203,774,080
  5. Step 5: Solve for x
    x = 171,787,400,203,774,080/274,612,464
  6. Step 6: Final answer
    x = 625,563,012.33

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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.