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Finding the Third Proportional to 2,912,493,708 and 6,418,646,382

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Solution

The third proportional to 2,912,493,708 and 6,418,646,382 is: 14,145,617,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,493,708 : 6,418,646,382 = 6,418,646,382 : x
  2. Step 2: Convert to fraction form
    2,912,493,708/6,418,646,382 = 6,418,646,382/x
  3. Step 3: Cross multiply
    2,912,493,708x = 6,418,646,382 × 6,418,646,382
  4. Step 4: Simplify right side
    2,912,493,708x = 41,199,021,377,161,691,136
  5. Step 5: Solve for x
    x = 41,199,021,377,161,691,136/2,912,493,708
  6. Step 6: Final answer
    x = 14,145,617,298.33

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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.