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Finding the Third Proportional to 3,177,069,152 and 6,926,189,498

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Solution

The third proportional to 3,177,069,152 and 6,926,189,498 is: 15,099,482,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,069,152 : 6,926,189,498 = 6,926,189,498 : x
  2. Step 2: Convert to fraction form
    3,177,069,152/6,926,189,498 = 6,926,189,498/x
  3. Step 3: Cross multiply
    3,177,069,152x = 6,926,189,498 × 6,926,189,498
  4. Step 4: Simplify right side
    3,177,069,152x = 47,972,100,962,205,491,200
  5. Step 5: Solve for x
    x = 47,972,100,962,205,491,200/3,177,069,152
  6. Step 6: Final answer
    x = 15,099,482,783.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.