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Finding the Third Proportional to 1,297,162,971 and 2,853,755,766

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Solution

The third proportional to 1,297,162,971 and 2,853,755,766 is: 6,278,256,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,162,971 : 2,853,755,766 = 2,853,755,766 : x
  2. Step 2: Convert to fraction form
    1,297,162,971/2,853,755,766 = 2,853,755,766/x
  3. Step 3: Cross multiply
    1,297,162,971x = 2,853,755,766 × 2,853,755,766
  4. Step 4: Simplify right side
    1,297,162,971x = 8,143,921,971,978,247,168
  5. Step 5: Solve for x
    x = 8,143,921,971,978,247,168/1,297,162,971
  6. Step 6: Final answer
    x = 6,278,256,590.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.