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Finding the Third Proportional to 279,831,448,764 and 604,252,184,472

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Solution

The third proportional to 279,831,448,764 and 604,252,184,472 is: 1,304,787,950,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,831,448,764 : 604,252,184,472 = 604,252,184,472 : x
  2. Step 2: Convert to fraction form
    279,831,448,764/604,252,184,472 = 604,252,184,472/x
  3. Step 3: Cross multiply
    279,831,448,764x = 604,252,184,472 × 604,252,184,472
  4. Step 4: Simplify right side
    279,831,448,764x = 365,120,702,439,183,939,010,560
  5. Step 5: Solve for x
    x = 365,120,702,439,183,939,010,560/279,831,448,764
  6. Step 6: Final answer
    x = 1,304,787,950,217.54

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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.