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Finding the Third Proportional to 17,147,864,600 and 36,776,853,808

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Solution

The third proportional to 17,147,864,600 and 36,776,853,808 is: 78,874,950,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147,864,600 : 36,776,853,808 = 36,776,853,808 : x
  2. Step 2: Convert to fraction form
    17,147,864,600/36,776,853,808 = 36,776,853,808/x
  3. Step 3: Cross multiply
    17,147,864,600x = 36,776,853,808 × 36,776,853,808
  4. Step 4: Simplify right side
    17,147,864,600x = 1,352,536,976,015,004,008,448
  5. Step 5: Solve for x
    x = 1,352,536,976,015,004,008,448/17,147,864,600
  6. Step 6: Final answer
    x = 78,874,950,762.97

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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.