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Finding the Third Proportional to 618,279,569 and 1,333,411,512

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Solution

The third proportional to 618,279,569 and 1,333,411,512 is: 2,875,699,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,279,569 : 1,333,411,512 = 1,333,411,512 : x
  2. Step 2: Convert to fraction form
    618,279,569/1,333,411,512 = 1,333,411,512/x
  3. Step 3: Cross multiply
    618,279,569x = 1,333,411,512 × 1,333,411,512
  4. Step 4: Simplify right side
    618,279,569x = 1,777,986,260,334,126,080
  5. Step 5: Solve for x
    x = 1,777,986,260,334,126,080/618,279,569
  6. Step 6: Final answer
    x = 2,875,699,520.87

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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.