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Finding the Third Proportional to 127,093,914 and 274,343,220

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Solution

The third proportional to 127,093,914 and 274,343,220 is: 592,193,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,093,914 : 274,343,220 = 274,343,220 : x
  2. Step 2: Convert to fraction form
    127,093,914/274,343,220 = 274,343,220/x
  3. Step 3: Cross multiply
    127,093,914x = 274,343,220 × 274,343,220
  4. Step 4: Simplify right side
    127,093,914x = 75,264,202,359,968,400
  5. Step 5: Solve for x
    x = 75,264,202,359,968,400/127,093,914
  6. Step 6: Final answer
    x = 592,193,599.14

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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.