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Finding the Third Proportional to 3,177,069,135 and 6,926,189,466

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Solution

The third proportional to 3,177,069,135 and 6,926,189,466 is: 15,099,482,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,069,135 : 6,926,189,466 = 6,926,189,466 : x
  2. Step 2: Convert to fraction form
    3,177,069,135/6,926,189,466 = 6,926,189,466/x
  3. Step 3: Cross multiply
    3,177,069,135x = 6,926,189,466 × 6,926,189,466
  4. Step 4: Simplify right side
    3,177,069,135x = 47,972,100,518,929,367,040
  5. Step 5: Solve for x
    x = 47,972,100,518,929,367,040/3,177,069,135
  6. Step 6: Final answer
    x = 15,099,482,724.64

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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.