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Finding the Third Proportional to 275,534,529 and 594,900,642

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Solution

The third proportional to 275,534,529 and 594,900,642 is: 1,284,437,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,534,529 : 594,900,642 = 594,900,642 : x
  2. Step 2: Convert to fraction form
    275,534,529/594,900,642 = 594,900,642/x
  3. Step 3: Cross multiply
    275,534,529x = 594,900,642 × 594,900,642
  4. Step 4: Simplify right side
    275,534,529x = 353,906,773,852,012,160
  5. Step 5: Solve for x
    x = 353,906,773,852,012,160/275,534,529
  6. Step 6: Final answer
    x = 1,284,437,108.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.