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Finding the Third Proportional to 1,836,524,624 and 3,750,134,026

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Solution

The third proportional to 1,836,524,624 and 3,750,134,026 is: 7,657,673,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,524,624 : 3,750,134,026 = 3,750,134,026 : x
  2. Step 2: Convert to fraction form
    1,836,524,624/3,750,134,026 = 3,750,134,026/x
  3. Step 3: Cross multiply
    1,836,524,624x = 3,750,134,026 × 3,750,134,026
  4. Step 4: Simplify right side
    1,836,524,624x = 14,063,505,212,962,969,600
  5. Step 5: Solve for x
    x = 14,063,505,212,962,969,600/1,836,524,624
  6. Step 6: Final answer
    x = 7,657,673,101.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.