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Finding the Third Proportional to 3,939,102,100 and 8,531,878,088

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Solution

The third proportional to 3,939,102,100 and 8,531,878,088 is: 18,479,577,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939,102,100 : 8,531,878,088 = 8,531,878,088 : x
  2. Step 2: Convert to fraction form
    3,939,102,100/8,531,878,088 = 8,531,878,088/x
  3. Step 3: Cross multiply
    3,939,102,100x = 8,531,878,088 × 8,531,878,088
  4. Step 4: Simplify right side
    3,939,102,100x = 72,792,943,708,494,536,704
  5. Step 5: Solve for x
    x = 72,792,943,708,494,536,704/3,939,102,100
  6. Step 6: Final answer
    x = 18,479,577,797.31

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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.