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Finding the Third Proportional to 3,552,824,610 and 7,698,737,052

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Solution

The third proportional to 3,552,824,610 and 7,698,737,052 is: 16,682,656,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552,824,610 : 7,698,737,052 = 7,698,737,052 : x
  2. Step 2: Convert to fraction form
    3,552,824,610/7,698,737,052 = 7,698,737,052/x
  3. Step 3: Cross multiply
    3,552,824,610x = 7,698,737,052 × 7,698,737,052
  4. Step 4: Simplify right side
    3,552,824,610x = 59,270,552,195,837,648,896
  5. Step 5: Solve for x
    x = 59,270,552,195,837,648,896/3,552,824,610
  6. Step 6: Final answer
    x = 16,682,656,393.74

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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.