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Finding the Third Proportional to 347,686,902.50 and 736,826,198.50

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Solution

The third proportional to 347,686,902.50 and 736,826,198.50 is: 1,561,499,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,686,902.50 : 736,826,198.50 = 736,826,198.50 : x
  2. Step 2: Convert to fraction form
    347,686,902.50/736,826,198.50 = 736,826,198.50/x
  3. Step 3: Cross multiply
    347,686,902.50x = 736,826,198.50 × 736,826,198.50
  4. Step 4: Simplify right side
    347,686,902.50x = 542,912,846,795,961,408
  5. Step 5: Solve for x
    x = 542,912,846,795,961,408/347,686,902.50
  6. Step 6: Final answer
    x = 1,561,499,276.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.