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Finding the Third Proportional to 8,311,708,420 and 12,478,505,408

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Solution

The third proportional to 8,311,708,420 and 12,478,505,408 is: 18,734,186,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311,708,420 : 12,478,505,408 = 12,478,505,408 : x
  2. Step 2: Convert to fraction form
    8,311,708,420/12,478,505,408 = 12,478,505,408/x
  3. Step 3: Cross multiply
    8,311,708,420x = 12,478,505,408 × 12,478,505,408
  4. Step 4: Simplify right side
    8,311,708,420x = 155,713,097,217,485,242,368
  5. Step 5: Solve for x
    x = 155,713,097,217,485,242,368/8,311,708,420
  6. Step 6: Final answer
    x = 18,734,186,685.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.