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Finding the Third Proportional to 237,380,868 and 506,116,512

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Solution

The third proportional to 237,380,868 and 506,116,512 is: 1,079,084,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,380,868 : 506,116,512 = 506,116,512 : x
  2. Step 2: Convert to fraction form
    237,380,868/506,116,512 = 506,116,512/x
  3. Step 3: Cross multiply
    237,380,868x = 506,116,512 × 506,116,512
  4. Step 4: Simplify right side
    237,380,868x = 256,153,923,719,046,144
  5. Step 5: Solve for x
    x = 256,153,923,719,046,144/237,380,868
  6. Step 6: Final answer
    x = 1,079,084,114.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.