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Finding the Third Proportional to 12,821,227,210 and 27,849,555,884

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Solution

The third proportional to 12,821,227,210 and 27,849,555,884 is: 60,493,254,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821,227,210 : 27,849,555,884 = 27,849,555,884 : x
  2. Step 2: Convert to fraction form
    12,821,227,210/27,849,555,884 = 27,849,555,884/x
  3. Step 3: Cross multiply
    12,821,227,210x = 27,849,555,884 × 27,849,555,884
  4. Step 4: Simplify right side
    12,821,227,210x = 775,597,762,936,039,014,400
  5. Step 5: Solve for x
    x = 775,597,762,936,039,014,400/12,821,227,210
  6. Step 6: Final answer
    x = 60,493,254,680.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.