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Finding the Third Proportional to 31,346,096 and 48,416,632

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Solution

The third proportional to 31,346,096 and 48,416,632 is: 74,783,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346,096 : 48,416,632 = 48,416,632 : x
  2. Step 2: Convert to fraction form
    31,346,096/48,416,632 = 48,416,632/x
  3. Step 3: Cross multiply
    31,346,096x = 48,416,632 × 48,416,632
  4. Step 4: Simplify right side
    31,346,096x = 2,344,170,254,223,424
  5. Step 5: Solve for x
    x = 2,344,170,254,223,424/31,346,096
  6. Step 6: Final answer
    x = 74,783,483.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.