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Finding the Third Proportional to 4,990,867,610 and 10,813,965,400

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Solution

The third proportional to 4,990,867,610 and 10,813,965,400 is: 23,431,166,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990,867,610 : 10,813,965,400 = 10,813,965,400 : x
  2. Step 2: Convert to fraction form
    4,990,867,610/10,813,965,400 = 10,813,965,400/x
  3. Step 3: Cross multiply
    4,990,867,610x = 10,813,965,400 × 10,813,965,400
  4. Step 4: Simplify right side
    4,990,867,610x = 116,941,847,672,397,152,256
  5. Step 5: Solve for x
    x = 116,941,847,672,397,152,256/4,990,867,610
  6. Step 6: Final answer
    x = 23,431,166,043.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.