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Finding the Third Proportional to 2,991,090,254 and 6,923,832,353

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Solution

The third proportional to 2,991,090,254 and 6,923,832,353 is: 16,027,418,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991,090,254 : 6,923,832,353 = 6,923,832,353 : x
  2. Step 2: Convert to fraction form
    2,991,090,254/6,923,832,353 = 6,923,832,353/x
  3. Step 3: Cross multiply
    2,991,090,254x = 6,923,832,353 × 6,923,832,353
  4. Step 4: Simplify right side
    2,991,090,254x = 47,939,454,452,449,517,568
  5. Step 5: Solve for x
    x = 47,939,454,452,449,517,568/2,991,090,254
  6. Step 6: Final answer
    x = 16,027,418,225.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.