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Finding the Third Proportional to 1,311,393,298 and 2,141,160,536

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Solution

The third proportional to 1,311,393,298 and 2,141,160,536 is: 3,495,952,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,393,298 : 2,141,160,536 = 2,141,160,536 : x
  2. Step 2: Convert to fraction form
    1,311,393,298/2,141,160,536 = 2,141,160,536/x
  3. Step 3: Cross multiply
    1,311,393,298x = 2,141,160,536 × 2,141,160,536
  4. Step 4: Simplify right side
    1,311,393,298x = 4,584,568,440,923,807,232
  5. Step 5: Solve for x
    x = 4,584,568,440,923,807,232/1,311,393,298
  6. Step 6: Final answer
    x = 3,495,952,318.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.