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Finding the Third Proportional to 30,777,529.50 and 48,029,638.50

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Solution

The third proportional to 30,777,529.50 and 48,029,638.50 is: 74,952,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777,529.50 : 48,029,638.50 = 48,029,638.50 : x
  2. Step 2: Convert to fraction form
    30,777,529.50/48,029,638.50 = 48,029,638.50/x
  3. Step 3: Cross multiply
    30,777,529.50x = 48,029,638.50 × 48,029,638.50
  4. Step 4: Simplify right side
    30,777,529.50x = 2,306,846,174,440,682
  5. Step 5: Solve for x
    x = 2,306,846,174,440,682/30,777,529.50
  6. Step 6: Final answer
    x = 74,952,285.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.