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Finding the Third Proportional to 237,380,884 and 506,116,544

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Solution

The third proportional to 237,380,884 and 506,116,544 is: 1,079,084,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,380,884 : 506,116,544 = 506,116,544 : x
  2. Step 2: Convert to fraction form
    237,380,884/506,116,544 = 506,116,544/x
  3. Step 3: Cross multiply
    237,380,884x = 506,116,544 × 506,116,544
  4. Step 4: Simplify right side
    237,380,884x = 256,153,956,110,503,936
  5. Step 5: Solve for x
    x = 256,153,956,110,503,936/237,380,884
  6. Step 6: Final answer
    x = 1,079,084,178.11

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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.