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Finding the Third Proportional to 56,540,976 and 123,093,945

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Solution

The third proportional to 56,540,976 and 123,093,945 is: 267,984,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,540,976 : 123,093,945 = 123,093,945 : x
  2. Step 2: Convert to fraction form
    56,540,976/123,093,945 = 123,093,945/x
  3. Step 3: Cross multiply
    56,540,976x = 123,093,945 × 123,093,945
  4. Step 4: Simplify right side
    56,540,976x = 15,152,119,295,663,024
  5. Step 5: Solve for x
    x = 15,152,119,295,663,024/56,540,976
  6. Step 6: Final answer
    x = 267,984,749.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.