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Finding the Third Proportional to 666,815,987,760 and 1,430,431,211,616

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Solution

The third proportional to 666,815,987,760 and 1,430,431,211,616 is: 3,068,512,886,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,815,987,760 : 1,430,431,211,616 = 1,430,431,211,616 : x
  2. Step 2: Convert to fraction form
    666,815,987,760/1,430,431,211,616 = 1,430,431,211,616/x
  3. Step 3: Cross multiply
    666,815,987,760x = 1,430,431,211,616 × 1,430,431,211,616
  4. Step 4: Simplify right side
    666,815,987,760x = 2,046,133,451,165,217,671,086,080
  5. Step 5: Solve for x
    x = 2,046,133,451,165,217,671,086,080/666,815,987,760
  6. Step 6: Final answer
    x = 3,068,512,886,199.21

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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.