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Finding the Third Proportional to 232,482,284 and 501,947,472

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Solution

The third proportional to 232,482,284 and 501,947,472 is: 1,083,743,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,482,284 : 501,947,472 = 501,947,472 : x
  2. Step 2: Convert to fraction form
    232,482,284/501,947,472 = 501,947,472/x
  3. Step 3: Cross multiply
    232,482,284x = 501,947,472 × 501,947,472
  4. Step 4: Simplify right side
    232,482,284x = 251,951,264,647,190,784
  5. Step 5: Solve for x
    x = 251,951,264,647,190,784/232,482,284
  6. Step 6: Final answer
    x = 1,083,743,932.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.