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Finding the Third Proportional to 6,928,854,936 and 16,167,886,908

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Solution

The third proportional to 6,928,854,936 and 16,167,886,908 is: 37,726,373,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928,854,936 : 16,167,886,908 = 16,167,886,908 : x
  2. Step 2: Convert to fraction form
    6,928,854,936/16,167,886,908 = 16,167,886,908/x
  3. Step 3: Cross multiply
    6,928,854,936x = 16,167,886,908 × 16,167,886,908
  4. Step 4: Simplify right side
    6,928,854,936x = 261,400,567,069,877,796,864
  5. Step 5: Solve for x
    x = 261,400,567,069,877,796,864/6,928,854,936
  6. Step 6: Final answer
    x = 37,726,373,186.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.