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Finding the Third Proportional to 121,353,909 and 267,443,608

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Solution

The third proportional to 121,353,909 and 267,443,608 is: 589,400,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,353,909 : 267,443,608 = 267,443,608 : x
  2. Step 2: Convert to fraction form
    121,353,909/267,443,608 = 267,443,608/x
  3. Step 3: Cross multiply
    121,353,909x = 267,443,608 × 267,443,608
  4. Step 4: Simplify right side
    121,353,909x = 71,526,083,460,057,664
  5. Step 5: Solve for x
    x = 71,526,083,460,057,664/121,353,909
  6. Step 6: Final answer
    x = 589,400,737.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.