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Finding the Third Proportional to 2,911,204,326 and 4,163,054,216

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Solution

The third proportional to 2,911,204,326 and 4,163,054,216 is: 5,953,213,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911,204,326 : 4,163,054,216 = 4,163,054,216 : x
  2. Step 2: Convert to fraction form
    2,911,204,326/4,163,054,216 = 4,163,054,216/x
  3. Step 3: Cross multiply
    2,911,204,326x = 4,163,054,216 × 4,163,054,216
  4. Step 4: Simplify right side
    2,911,204,326x = 17,331,020,405,355,374,592
  5. Step 5: Solve for x
    x = 17,331,020,405,355,374,592/2,911,204,326
  6. Step 6: Final answer
    x = 5,953,213,331.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.