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Finding the Third Proportional to 4,312,629,978 and 6,624,727,245

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Solution

The third proportional to 4,312,629,978 and 6,624,727,245 is: 10,176,391,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312,629,978 : 6,624,727,245 = 6,624,727,245 : x
  2. Step 2: Convert to fraction form
    4,312,629,978/6,624,727,245 = 6,624,727,245/x
  3. Step 3: Cross multiply
    4,312,629,978x = 6,624,727,245 × 6,624,727,245
  4. Step 4: Simplify right side
    4,312,629,978x = 43,887,011,070,645,288,960
  5. Step 5: Solve for x
    x = 43,887,011,070,645,288,960/4,312,629,978
  6. Step 6: Final answer
    x = 10,176,391,504.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.