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Finding the Third Proportional to 4,865,008,064 and 10,621,774,162

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Solution

The third proportional to 4,865,008,064 and 10,621,774,162 is: 23,190,524,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865,008,064 : 10,621,774,162 = 10,621,774,162 : x
  2. Step 2: Convert to fraction form
    4,865,008,064/10,621,774,162 = 10,621,774,162/x
  3. Step 3: Cross multiply
    4,865,008,064x = 10,621,774,162 × 10,621,774,162
  4. Step 4: Simplify right side
    4,865,008,064x = 112,822,086,348,530,794,496
  5. Step 5: Solve for x
    x = 112,822,086,348,530,794,496/4,865,008,064
  6. Step 6: Final answer
    x = 23,190,524,016.47

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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.