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Finding the Third Proportional to 13,776,990,171,676 and 29,519,079,857,601

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Solution

The third proportional to 13,776,990,171,676 and 29,519,079,857,601 is: 63,248,653,354,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776,990,171,676 : 29,519,079,857,601 = 29,519,079,857,601 : x
  2. Step 2: Convert to fraction form
    13,776,990,171,676/29,519,079,857,601 = 29,519,079,857,601/x
  3. Step 3: Cross multiply
    13,776,990,171,676x = 29,519,079,857,601 × 29,519,079,857,601
  4. Step 4: Simplify right side
    13,776,990,171,676x = 871,376,075,639,425,111,169,171,456
  5. Step 5: Solve for x
    x = 871,376,075,639,425,111,169,171,456/13,776,990,171,676
  6. Step 6: Final answer
    x = 63,248,653,354,698.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.