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Finding the Third Proportional to 1,836,524,626 and 3,750,134,030

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Solution

The third proportional to 1,836,524,626 and 3,750,134,030 is: 7,657,673,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,524,626 : 3,750,134,030 = 3,750,134,030 : x
  2. Step 2: Convert to fraction form
    1,836,524,626/3,750,134,030 = 3,750,134,030/x
  3. Step 3: Cross multiply
    1,836,524,626x = 3,750,134,030 × 3,750,134,030
  4. Step 4: Simplify right side
    1,836,524,626x = 14,063,505,242,964,041,728
  5. Step 5: Solve for x
    x = 14,063,505,242,964,041,728/1,836,524,626
  6. Step 6: Final answer
    x = 7,657,673,109.23

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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.