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Finding the Third Proportional to 237,723,640 and 515,019,677

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Solution

The third proportional to 237,723,640 and 515,019,677 is: 1,115,771,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,723,640 : 515,019,677 = 515,019,677 : x
  2. Step 2: Convert to fraction form
    237,723,640/515,019,677 = 515,019,677/x
  3. Step 3: Cross multiply
    237,723,640x = 515,019,677 × 515,019,677
  4. Step 4: Simplify right side
    237,723,640x = 265,245,267,697,184,320
  5. Step 5: Solve for x
    x = 265,245,267,697,184,320/237,723,640
  6. Step 6: Final answer
    x = 1,115,771,522.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.