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Finding the Third Proportional to 270,169,984 and 637,135,872

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Solution

The third proportional to 270,169,984 and 637,135,872 is: 1,502,543,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,169,984 : 637,135,872 = 637,135,872 : x
  2. Step 2: Convert to fraction form
    270,169,984/637,135,872 = 637,135,872/x
  3. Step 3: Cross multiply
    270,169,984x = 637,135,872 × 637,135,872
  4. Step 4: Simplify right side
    270,169,984x = 405,942,119,389,200,384
  5. Step 5: Solve for x
    x = 405,942,119,389,200,384/270,169,984
  6. Step 6: Final answer
    x = 1,502,543,374.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.