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Finding the Third Proportional to 3,552,824,612 and 7,698,737,056

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Solution

The third proportional to 3,552,824,612 and 7,698,737,056 is: 16,682,656,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552,824,612 : 7,698,737,056 = 7,698,737,056 : x
  2. Step 2: Convert to fraction form
    3,552,824,612/7,698,737,056 = 7,698,737,056/x
  3. Step 3: Cross multiply
    3,552,824,612x = 7,698,737,056 × 7,698,737,056
  4. Step 4: Simplify right side
    3,552,824,612x = 59,270,552,257,427,546,112
  5. Step 5: Solve for x
    x = 59,270,552,257,427,546,112/3,552,824,612
  6. Step 6: Final answer
    x = 16,682,656,401.68

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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.