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Finding the Third Proportional to 214,647,629 and 463,287,800

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Solution

The third proportional to 214,647,629 and 463,287,800 is: 999,943,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,647,629 : 463,287,800 = 463,287,800 : x
  2. Step 2: Convert to fraction form
    214,647,629/463,287,800 = 463,287,800/x
  3. Step 3: Cross multiply
    214,647,629x = 463,287,800 × 463,287,800
  4. Step 4: Simplify right side
    214,647,629x = 214,635,585,628,840,000
  5. Step 5: Solve for x
    x = 214,635,585,628,840,000/214,647,629
  6. Step 6: Final answer
    x = 999,943,892.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.