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Finding the Third Proportional to 219,261,200 and 487,545,744

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Solution

The third proportional to 219,261,200 and 487,545,744 is: 1,084,099,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,261,200 : 487,545,744 = 487,545,744 : x
  2. Step 2: Convert to fraction form
    219,261,200/487,545,744 = 487,545,744/x
  3. Step 3: Cross multiply
    219,261,200x = 487,545,744 × 487,545,744
  4. Step 4: Simplify right side
    219,261,200x = 237,700,852,492,513,536
  5. Step 5: Solve for x
    x = 237,700,852,492,513,536/219,261,200
  6. Step 6: Final answer
    x = 1,084,099,022.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.