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Finding the Third Proportional to 5,829,801,561 and 12,588,555,078

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Solution

The third proportional to 5,829,801,561 and 12,588,555,078 is: 27,183,038,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829,801,561 : 12,588,555,078 = 12,588,555,078 : x
  2. Step 2: Convert to fraction form
    5,829,801,561/12,588,555,078 = 12,588,555,078/x
  3. Step 3: Cross multiply
    5,829,801,561x = 12,588,555,078 × 12,588,555,078
  4. Step 4: Simplify right side
    5,829,801,561x = 158,471,718,951,839,596,544
  5. Step 5: Solve for x
    x = 158,471,718,951,839,596,544/5,829,801,561
  6. Step 6: Final answer
    x = 27,183,038,272.17

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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.