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Finding the Third Proportional to 618,279,769 and 1,333,411,911

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Solution

The third proportional to 618,279,769 and 1,333,411,911 is: 2,875,700,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,279,769 : 1,333,411,911 = 1,333,411,911 : x
  2. Step 2: Convert to fraction form
    618,279,769/1,333,411,911 = 1,333,411,911/x
  3. Step 3: Cross multiply
    618,279,769x = 1,333,411,911 × 1,333,411,911
  4. Step 4: Simplify right side
    618,279,769x = 1,777,987,324,396,672,000
  5. Step 5: Solve for x
    x = 1,777,987,324,396,672,000/618,279,769
  6. Step 6: Final answer
    x = 2,875,700,311.64

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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.