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Finding the Third Proportional to 6,770,751,888 and 10,457,984,376

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Solution

The third proportional to 6,770,751,888 and 10,457,984,376 is: 16,153,218,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770,751,888 : 10,457,984,376 = 10,457,984,376 : x
  2. Step 2: Convert to fraction form
    6,770,751,888/10,457,984,376 = 10,457,984,376/x
  3. Step 3: Cross multiply
    6,770,751,888x = 10,457,984,376 × 10,457,984,376
  4. Step 4: Simplify right side
    6,770,751,888x = 109,369,437,208,660,115,456
  5. Step 5: Solve for x
    x = 109,369,437,208,660,115,456/6,770,751,888
  6. Step 6: Final answer
    x = 16,153,218,876.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.