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Finding the Third Proportional to 6,616,415,336 and 10,243,667,100

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Solution

The third proportional to 6,616,415,336 and 10,243,667,100 is: 15,859,451,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616,415,336 : 10,243,667,100 = 10,243,667,100 : x
  2. Step 2: Convert to fraction form
    6,616,415,336/10,243,667,100 = 10,243,667,100/x
  3. Step 3: Cross multiply
    6,616,415,336x = 10,243,667,100 × 10,243,667,100
  4. Step 4: Simplify right side
    6,616,415,336x = 104,932,715,655,622,410,240
  5. Step 5: Solve for x
    x = 104,932,715,655,622,410,240/6,616,415,336
  6. Step 6: Final answer
    x = 15,859,451,126.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.