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Finding the Third Proportional to 5,453,553,808 and 11,778,802,400

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Solution

The third proportional to 5,453,553,808 and 11,778,802,400 is: 25,440,325,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453,553,808 : 11,778,802,400 = 11,778,802,400 : x
  2. Step 2: Convert to fraction form
    5,453,553,808/11,778,802,400 = 11,778,802,400/x
  3. Step 3: Cross multiply
    5,453,553,808x = 11,778,802,400 × 11,778,802,400
  4. Step 4: Simplify right side
    5,453,553,808x = 138,740,185,978,245,758,976
  5. Step 5: Solve for x
    x = 138,740,185,978,245,758,976/5,453,553,808
  6. Step 6: Final answer
    x = 25,440,325,861.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.