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Finding the Third Proportional to 233,233,414 and 539,950,061

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Solution

The third proportional to 233,233,414 and 539,950,061 is: 1,250,018,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,414 : 539,950,061 = 539,950,061 : x
  2. Step 2: Convert to fraction form
    233,233,414/539,950,061 = 539,950,061/x
  3. Step 3: Cross multiply
    233,233,414x = 539,950,061 × 539,950,061
  4. Step 4: Simplify right side
    233,233,414x = 291,546,068,373,903,744
  5. Step 5: Solve for x
    x = 291,546,068,373,903,744/233,233,414
  6. Step 6: Final answer
    x = 1,250,018,440.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.