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Finding the Third Proportional to 242,005,512 and 531,032,592

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Solution

The third proportional to 242,005,512 and 531,032,592 is: 1,165,244,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,005,512 : 531,032,592 = 531,032,592 : x
  2. Step 2: Convert to fraction form
    242,005,512/531,032,592 = 531,032,592/x
  3. Step 3: Cross multiply
    242,005,512x = 531,032,592 × 531,032,592
  4. Step 4: Simplify right side
    242,005,512x = 281,995,613,766,238,464
  5. Step 5: Solve for x
    x = 281,995,613,766,238,464/242,005,512
  6. Step 6: Final answer
    x = 1,165,244,590.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.