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Finding the Third Proportional to 31,921,100 and 49,528,407

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Solution

The third proportional to 31,921,100 and 49,528,407 is: 76,847,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921,100 : 49,528,407 = 49,528,407 : x
  2. Step 2: Convert to fraction form
    31,921,100/49,528,407 = 49,528,407/x
  3. Step 3: Cross multiply
    31,921,100x = 49,528,407 × 49,528,407
  4. Step 4: Simplify right side
    31,921,100x = 2,453,063,099,957,649
  5. Step 5: Solve for x
    x = 2,453,063,099,957,649/31,921,100
  6. Step 6: Final answer
    x = 76,847,699.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.