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Finding the Third Proportional to 2,051,187,732 and 4,174,865,766

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Solution

The third proportional to 2,051,187,732 and 4,174,865,766 is: 8,497,273,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,187,732 : 4,174,865,766 = 4,174,865,766 : x
  2. Step 2: Convert to fraction form
    2,051,187,732/4,174,865,766 = 4,174,865,766/x
  3. Step 3: Cross multiply
    2,051,187,732x = 4,174,865,766 × 4,174,865,766
  4. Step 4: Simplify right side
    2,051,187,732x = 17,429,504,164,118,767,616
  5. Step 5: Solve for x
    x = 17,429,504,164,118,767,616/2,051,187,732
  6. Step 6: Final answer
    x = 8,497,273,990.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.