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Finding the Third Proportional to 3,676,447,111,741 and 8,045,456,270,676

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Solution

The third proportional to 3,676,447,111,741 and 8,045,456,270,676 is: 17,606,500,144,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,447,111,741 : 8,045,456,270,676 = 8,045,456,270,676 : x
  2. Step 2: Convert to fraction form
    3,676,447,111,741/8,045,456,270,676 = 8,045,456,270,676/x
  3. Step 3: Cross multiply
    3,676,447,111,741x = 8,045,456,270,676 × 8,045,456,270,676
  4. Step 4: Simplify right side
    3,676,447,111,741x = 64,729,366,603,359,769,442,910,208
  5. Step 5: Solve for x
    x = 64,729,366,603,359,769,442,910,208/3,676,447,111,741
  6. Step 6: Final answer
    x = 17,606,500,144,294.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.