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Finding the Third Proportional to 127,236,411 and 274,569,327

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Solution

The third proportional to 127,236,411 and 274,569,327 is: 592,505,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,236,411 : 274,569,327 = 274,569,327 : x
  2. Step 2: Convert to fraction form
    127,236,411/274,569,327 = 274,569,327/x
  3. Step 3: Cross multiply
    127,236,411x = 274,569,327 × 274,569,327
  4. Step 4: Simplify right side
    127,236,411x = 75,388,315,329,232,928
  5. Step 5: Solve for x
    x = 75,388,315,329,232,928/127,236,411
  6. Step 6: Final answer
    x = 592,505,830.18

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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.