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Finding the Third Proportional to 237,380,912 and 506,116,592

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Solution

The third proportional to 237,380,912 and 506,116,592 is: 1,079,084,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,380,912 : 506,116,592 = 506,116,592 : x
  2. Step 2: Convert to fraction form
    237,380,912/506,116,592 = 506,116,592/x
  3. Step 3: Cross multiply
    237,380,912x = 506,116,592 × 506,116,592
  4. Step 4: Simplify right side
    237,380,912x = 256,154,004,697,694,464
  5. Step 5: Solve for x
    x = 256,154,004,697,694,464/237,380,912
  6. Step 6: Final answer
    x = 1,079,084,255.51

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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.