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Finding the Third Proportional to 263,887,738 and 402,656,967

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Solution

The third proportional to 263,887,738 and 402,656,967 is: 614,400,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,887,738 : 402,656,967 = 402,656,967 : x
  2. Step 2: Convert to fraction form
    263,887,738/402,656,967 = 402,656,967/x
  3. Step 3: Cross multiply
    263,887,738x = 402,656,967 × 402,656,967
  4. Step 4: Simplify right side
    263,887,738x = 162,132,633,073,639,104
  5. Step 5: Solve for x
    x = 162,132,633,073,639,104/263,887,738
  6. Step 6: Final answer
    x = 614,400,025.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.