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Finding the Third Proportional to 23,967,896.84 and 52,420,749.75

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Solution

The third proportional to 23,967,896.84 and 52,420,749.75 is: 114,650,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967,896.84 : 52,420,749.75 = 52,420,749.75 : x
  2. Step 2: Convert to fraction form
    23,967,896.84/52,420,749.75 = 52,420,749.75/x
  3. Step 3: Cross multiply
    23,967,896.84x = 52,420,749.75 × 52,420,749.75
  4. Step 4: Simplify right side
    23,967,896.84x = 2,747,935,004,352,125
  5. Step 5: Solve for x
    x = 2,747,935,004,352,125/23,967,896.84
  6. Step 6: Final answer
    x = 114,650,652.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.