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Finding the Third Proportional to 6,928,894,170 and 14,225,109,205

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Solution

The third proportional to 6,928,894,170 and 14,225,109,205 is: 29,204,332,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928,894,170 : 14,225,109,205 = 14,225,109,205 : x
  2. Step 2: Convert to fraction form
    6,928,894,170/14,225,109,205 = 14,225,109,205/x
  3. Step 3: Cross multiply
    6,928,894,170x = 14,225,109,205 × 14,225,109,205
  4. Step 4: Simplify right side
    6,928,894,170x = 202,353,731,894,175,727,616
  5. Step 5: Solve for x
    x = 202,353,731,894,175,727,616/6,928,894,170
  6. Step 6: Final answer
    x = 29,204,332,889.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.