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Finding the Third Proportional to 899,340,373 and 2,005,468,236

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Solution

The third proportional to 899,340,373 and 2,005,468,236 is: 4,472,058,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,340,373 : 2,005,468,236 = 2,005,468,236 : x
  2. Step 2: Convert to fraction form
    899,340,373/2,005,468,236 = 2,005,468,236/x
  3. Step 3: Cross multiply
    899,340,373x = 2,005,468,236 × 2,005,468,236
  4. Step 4: Simplify right side
    899,340,373x = 4,021,902,845,604,951,552
  5. Step 5: Solve for x
    x = 4,021,902,845,604,951,552/899,340,373
  6. Step 6: Final answer
    x = 4,472,058,595.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.