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Finding the Third Proportional to 300,018,292 and 450,826,232

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Solution

The third proportional to 300,018,292 and 450,826,232 is: 677,439,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018,292 : 450,826,232 = 450,826,232 : x
  2. Step 2: Convert to fraction form
    300,018,292/450,826,232 = 450,826,232/x
  3. Step 3: Cross multiply
    300,018,292x = 450,826,232 × 450,826,232
  4. Step 4: Simplify right side
    300,018,292x = 203,244,291,459,317,824
  5. Step 5: Solve for x
    x = 203,244,291,459,317,824/300,018,292
  6. Step 6: Final answer
    x = 677,439,665.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.