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Finding the Third Proportional to 31,883,970 and 44,739,531

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Solution

The third proportional to 31,883,970 and 44,739,531 is: 62,778,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883,970 : 44,739,531 = 44,739,531 : x
  2. Step 2: Convert to fraction form
    31,883,970/44,739,531 = 44,739,531/x
  3. Step 3: Cross multiply
    31,883,970x = 44,739,531 × 44,739,531
  4. Step 4: Simplify right side
    31,883,970x = 2,001,625,634,099,961
  5. Step 5: Solve for x
    x = 2,001,625,634,099,961/31,883,970
  6. Step 6: Final answer
    x = 62,778,431.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.