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Finding the Third Proportional to 3,024,200,025 and 4,744,073,198

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Solution

The third proportional to 3,024,200,025 and 4,744,073,198 is: 7,442,044,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024,200,025 : 4,744,073,198 = 4,744,073,198 : x
  2. Step 2: Convert to fraction form
    3,024,200,025/4,744,073,198 = 4,744,073,198/x
  3. Step 3: Cross multiply
    3,024,200,025x = 4,744,073,198 × 4,744,073,198
  4. Step 4: Simplify right side
    3,024,200,025x = 22,506,230,507,981,946,880
  5. Step 5: Solve for x
    x = 22,506,230,507,981,946,880/3,024,200,025
  6. Step 6: Final answer
    x = 7,442,044,283.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.