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Finding the Third Proportional to 300,018,294 and 450,826,235

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Solution

The third proportional to 300,018,294 and 450,826,235 is: 677,439,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018,294 : 450,826,235 = 450,826,235 : x
  2. Step 2: Convert to fraction form
    300,018,294/450,826,235 = 450,826,235/x
  3. Step 3: Cross multiply
    300,018,294x = 450,826,235 × 450,826,235
  4. Step 4: Simplify right side
    300,018,294x = 203,244,294,164,275,232
  5. Step 5: Solve for x
    x = 203,244,294,164,275,232/300,018,294
  6. Step 6: Final answer
    x = 677,439,670.28

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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.