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Finding the Third Proportional to 1,297,162,973 and 2,853,755,770

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Solution

The third proportional to 1,297,162,973 and 2,853,755,770 is: 6,278,256,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,162,973 : 2,853,755,770 = 2,853,755,770 : x
  2. Step 2: Convert to fraction form
    1,297,162,973/2,853,755,770 = 2,853,755,770/x
  3. Step 3: Cross multiply
    1,297,162,973x = 2,853,755,770 × 2,853,755,770
  4. Step 4: Simplify right side
    1,297,162,973x = 8,143,921,994,808,293,376
  5. Step 5: Solve for x
    x = 8,143,921,994,808,293,376/1,297,162,973
  6. Step 6: Final answer
    x = 6,278,256,598.69

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Why These Related Problems?

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