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Finding the Third Proportional to 989,380,224 and 2,149,241,472

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Solution

The third proportional to 989,380,224 and 2,149,241,472 is: 4,668,820,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,380,224 : 2,149,241,472 = 2,149,241,472 : x
  2. Step 2: Convert to fraction form
    989,380,224/2,149,241,472 = 2,149,241,472/x
  3. Step 3: Cross multiply
    989,380,224x = 2,149,241,472 × 2,149,241,472
  4. Step 4: Simplify right side
    989,380,224x = 4,619,238,904,964,726,784
  5. Step 5: Solve for x
    x = 4,619,238,904,964,726,784/989,380,224
  6. Step 6: Final answer
    x = 4,668,820,735.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.