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Finding the Third Proportional to 14,274,191,116 and 30,920,311,064

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Solution

The third proportional to 14,274,191,116 and 30,920,311,064 is: 66,978,620,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274,191,116 : 30,920,311,064 = 30,920,311,064 : x
  2. Step 2: Convert to fraction form
    14,274,191,116/30,920,311,064 = 30,920,311,064/x
  3. Step 3: Cross multiply
    14,274,191,116x = 30,920,311,064 × 30,920,311,064
  4. Step 4: Simplify right side
    14,274,191,116x = 956,065,636,294,520,864,768
  5. Step 5: Solve for x
    x = 956,065,636,294,520,864,768/14,274,191,116
  6. Step 6: Final answer
    x = 66,978,620,961.78

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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.