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Finding the Third Proportional to 10,916,344,713 and 16,768,840,975

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Solution

The third proportional to 10,916,344,713 and 16,768,840,975 is: 25,758,991,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916,344,713 : 16,768,840,975 = 16,768,840,975 : x
  2. Step 2: Convert to fraction form
    10,916,344,713/16,768,840,975 = 16,768,840,975/x
  3. Step 3: Cross multiply
    10,916,344,713x = 16,768,840,975 × 16,768,840,975
  4. Step 4: Simplify right side
    10,916,344,713x = 281,194,027,644,838,936,576
  5. Step 5: Solve for x
    x = 281,194,027,644,838,936,576/10,916,344,713
  6. Step 6: Final answer
    x = 25,758,991,222.58

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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.