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Finding the Third Proportional to 127,093,912 and 274,343,216

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Solution

The third proportional to 127,093,912 and 274,343,216 is: 592,193,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,093,912 : 274,343,216 = 274,343,216 : x
  2. Step 2: Convert to fraction form
    127,093,912/274,343,216 = 274,343,216/x
  3. Step 3: Cross multiply
    127,093,912x = 274,343,216 × 274,343,216
  4. Step 4: Simplify right side
    127,093,912x = 75,264,200,165,222,656
  5. Step 5: Solve for x
    x = 75,264,200,165,222,656/127,093,912
  6. Step 6: Final answer
    x = 592,193,591.19

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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.