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Finding the Third Proportional to 4,729,633,967 and 6,651,913,728

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Solution

The third proportional to 4,729,633,967 and 6,651,913,728 is: 9,355,471,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,633,967 : 6,651,913,728 = 6,651,913,728 : x
  2. Step 2: Convert to fraction form
    4,729,633,967/6,651,913,728 = 6,651,913,728/x
  3. Step 3: Cross multiply
    4,729,633,967x = 6,651,913,728 × 6,651,913,728
  4. Step 4: Simplify right side
    4,729,633,967x = 44,247,956,244,754,857,984
  5. Step 5: Solve for x
    x = 44,247,956,244,754,857,984/4,729,633,967
  6. Step 6: Final answer
    x = 9,355,471,597.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.