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Finding the Third Proportional to 49,444,745 and 72,737,737.50

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Solution

The third proportional to 49,444,745 and 72,737,737.50 is: 107,003,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,444,745 : 72,737,737.50 = 72,737,737.50 : x
  2. Step 2: Convert to fraction form
    49,444,745/72,737,737.50 = 72,737,737.50/x
  3. Step 3: Cross multiply
    49,444,745x = 72,737,737.50 × 72,737,737.50
  4. Step 4: Simplify right side
    49,444,745x = 5,290,778,456,618,906
  5. Step 5: Solve for x
    x = 5,290,778,456,618,906/49,444,745
  6. Step 6: Final answer
    x = 107,003,857.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.