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Finding the Third Proportional to 2,299,986,831 and 3,755,273,784

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Solution

The third proportional to 2,299,986,831 and 3,755,273,784 is: 6,131,374,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,986,831 : 3,755,273,784 = 3,755,273,784 : x
  2. Step 2: Convert to fraction form
    2,299,986,831/3,755,273,784 = 3,755,273,784/x
  3. Step 3: Cross multiply
    2,299,986,831x = 3,755,273,784 × 3,755,273,784
  4. Step 4: Simplify right side
    2,299,986,831x = 14,102,081,192,797,679,616
  5. Step 5: Solve for x
    x = 14,102,081,192,797,679,616/2,299,986,831
  6. Step 6: Final answer
    x = 6,131,374,755.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.