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Finding the Third Proportional to 666,378,205,593.70 and 1,433,044,039,662.70

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Solution

The third proportional to 666,378,205,593.70 and 1,433,044,039,662.70 is: 3,081,756,279,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,378,205,593.70 : 1,433,044,039,662.70 = 1,433,044,039,662.70 : x
  2. Step 2: Convert to fraction form
    666,378,205,593.70/1,433,044,039,662.70 = 1,433,044,039,662.70/x
  3. Step 3: Cross multiply
    666,378,205,593.70x = 1,433,044,039,662.70 × 1,433,044,039,662.70
  4. Step 4: Simplify right side
    666,378,205,593.70x = 2,053,615,219,612,789,824,815,104
  5. Step 5: Solve for x
    x = 2,053,615,219,612,789,824,815,104/666,378,205,593.70
  6. Step 6: Final answer
    x = 3,081,756,279,503.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.