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Finding the Third Proportional to 284,094,189 and 663,772,449

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Solution

The third proportional to 284,094,189 and 663,772,449 is: 1,550,872,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,094,189 : 663,772,449 = 663,772,449 : x
  2. Step 2: Convert to fraction form
    284,094,189/663,772,449 = 663,772,449/x
  3. Step 3: Cross multiply
    284,094,189x = 663,772,449 × 663,772,449
  4. Step 4: Simplify right side
    284,094,189x = 440,593,864,051,457,600
  5. Step 5: Solve for x
    x = 440,593,864,051,457,600/284,094,189
  6. Step 6: Final answer
    x = 1,550,872,496.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.