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Finding the Third Proportional to 57,880,057 and 120,523,397

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Solution

The third proportional to 57,880,057 and 120,523,397 is: 250,965,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,880,057 : 120,523,397 = 120,523,397 : x
  2. Step 2: Convert to fraction form
    57,880,057/120,523,397 = 120,523,397/x
  3. Step 3: Cross multiply
    57,880,057x = 120,523,397 × 120,523,397
  4. Step 4: Simplify right side
    57,880,057x = 14,525,889,224,419,608
  5. Step 5: Solve for x
    x = 14,525,889,224,419,608/57,880,057
  6. Step 6: Final answer
    x = 250,965,357.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.