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Finding the Third Proportional to 5,453,553,812 and 11,778,802,408

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Solution

The third proportional to 5,453,553,812 and 11,778,802,408 is: 25,440,325,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453,553,812 : 11,778,802,408 = 11,778,802,408 : x
  2. Step 2: Convert to fraction form
    5,453,553,812/11,778,802,408 = 11,778,802,408/x
  3. Step 3: Cross multiply
    5,453,553,812x = 11,778,802,408 × 11,778,802,408
  4. Step 4: Simplify right side
    5,453,553,812x = 138,740,186,166,706,601,984
  5. Step 5: Solve for x
    x = 138,740,186,166,706,601,984/5,453,553,812
  6. Step 6: Final answer
    x = 25,440,325,877.31

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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.