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Finding the Third Proportional to 1,966,371,867 and 4,213,219,617

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Solution

The third proportional to 1,966,371,867 and 4,213,219,617 is: 9,027,397,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,371,867 : 4,213,219,617 = 4,213,219,617 : x
  2. Step 2: Convert to fraction form
    1,966,371,867/4,213,219,617 = 4,213,219,617/x
  3. Step 3: Cross multiply
    1,966,371,867x = 4,213,219,617 × 4,213,219,617
  4. Step 4: Simplify right side
    1,966,371,867x = 17,751,219,541,073,627,136
  5. Step 5: Solve for x
    x = 17,751,219,541,073,627,136/1,966,371,867
  6. Step 6: Final answer
    x = 9,027,397,024.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.