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Finding the Third Proportional to 11,479,608,005.63 and 17,823,810,825

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Solution

The third proportional to 11,479,608,005.63 and 17,823,810,825 is: 27,674,135,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479,608,005.63 : 17,823,810,825 = 17,823,810,825 : x
  2. Step 2: Convert to fraction form
    11,479,608,005.63/17,823,810,825 = 17,823,810,825/x
  3. Step 3: Cross multiply
    11,479,608,005.63x = 17,823,810,825 × 17,823,810,825
  4. Step 4: Simplify right side
    11,479,608,005.63x = 317,688,232,325,387,190,272
  5. Step 5: Solve for x
    x = 317,688,232,325,387,190,272/11,479,608,005.63
  6. Step 6: Final answer
    x = 27,674,135,926.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.