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Finding the Third Proportional to 5,847,733,812 and 12,767,051,670

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Solution

The third proportional to 5,847,733,812 and 12,767,051,670 is: 27,873,636,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847,733,812 : 12,767,051,670 = 12,767,051,670 : x
  2. Step 2: Convert to fraction form
    5,847,733,812/12,767,051,670 = 12,767,051,670/x
  3. Step 3: Cross multiply
    5,847,733,812x = 12,767,051,670 × 12,767,051,670
  4. Step 4: Simplify right side
    5,847,733,812x = 162,997,608,344,449,777,664
  5. Step 5: Solve for x
    x = 162,997,608,344,449,777,664/5,847,733,812
  6. Step 6: Final answer
    x = 27,873,636,794.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.