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Finding the Third Proportional to 2,205,471,776 and 3,414,555,696

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Solution

The third proportional to 2,205,471,776 and 3,414,555,696 is: 5,286,483,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,471,776 : 3,414,555,696 = 3,414,555,696 : x
  2. Step 2: Convert to fraction form
    2,205,471,776/3,414,555,696 = 3,414,555,696/x
  3. Step 3: Cross multiply
    2,205,471,776x = 3,414,555,696 × 3,414,555,696
  4. Step 4: Simplify right side
    2,205,471,776x = 11,659,190,601,086,044,160
  5. Step 5: Solve for x
    x = 11,659,190,601,086,044,160/2,205,471,776
  6. Step 6: Final answer
    x = 5,286,483,702.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.