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Finding the Third Proportional to 57,002,724 and 122,963,400

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Solution

The third proportional to 57,002,724 and 122,963,400 is: 265,250,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002,724 : 122,963,400 = 122,963,400 : x
  2. Step 2: Convert to fraction form
    57,002,724/122,963,400 = 122,963,400/x
  3. Step 3: Cross multiply
    57,002,724x = 122,963,400 × 122,963,400
  4. Step 4: Simplify right side
    57,002,724x = 15,119,997,739,560,000
  5. Step 5: Solve for x
    x = 15,119,997,739,560,000/57,002,724
  6. Step 6: Final answer
    x = 265,250,442.06

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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.