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Finding the Third Proportional to 7,773,057,039 and 16,784,715,696

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Solution

The third proportional to 7,773,057,039 and 16,784,715,696 is: 36,244,000,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,057,039 : 16,784,715,696 = 16,784,715,696 : x
  2. Step 2: Convert to fraction form
    7,773,057,039/16,784,715,696 = 16,784,715,696/x
  3. Step 3: Cross multiply
    7,773,057,039x = 16,784,715,696 × 16,784,715,696
  4. Step 4: Simplify right side
    7,773,057,039x = 281,726,680,995,548,758,016
  5. Step 5: Solve for x
    x = 281,726,680,995,548,758,016/7,773,057,039
  6. Step 6: Final answer
    x = 36,244,000,215.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.