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Finding the Third Proportional to 31,195,433 and 48,558,737

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Solution

The third proportional to 31,195,433 and 48,558,737 is: 75,586,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,433 : 48,558,737 = 48,558,737 : x
  2. Step 2: Convert to fraction form
    31,195,433/48,558,737 = 48,558,737/x
  3. Step 3: Cross multiply
    31,195,433x = 48,558,737 × 48,558,737
  4. Step 4: Simplify right side
    31,195,433x = 2,357,950,939,035,169
  5. Step 5: Solve for x
    x = 2,357,950,939,035,169/31,195,433
  6. Step 6: Final answer
    x = 75,586,414.81

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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.