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Finding the Third Proportional to 914,846,421 and 1,413,589,391.50

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Solution

The third proportional to 914,846,421 and 1,413,589,391.50 is: 2,184,229,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,846,421 : 1,413,589,391.50 = 1,413,589,391.50 : x
  2. Step 2: Convert to fraction form
    914,846,421/1,413,589,391.50 = 1,413,589,391.50/x
  3. Step 3: Cross multiply
    914,846,421x = 1,413,589,391.50 × 1,413,589,391.50
  4. Step 4: Simplify right side
    914,846,421x = 1,998,234,967,761,340,160
  5. Step 5: Solve for x
    x = 1,998,234,967,761,340,160/914,846,421
  6. Step 6: Final answer
    x = 2,184,229,966.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.