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Finding the Third Proportional to 31,550,937.75 and 48,466,103.63

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Solution

The third proportional to 31,550,937.75 and 48,466,103.63 is: 74,449,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550,937.75 : 48,466,103.63 = 48,466,103.63 : x
  2. Step 2: Convert to fraction form
    31,550,937.75/48,466,103.63 = 48,466,103.63/x
  3. Step 3: Cross multiply
    31,550,937.75x = 48,466,103.63 × 48,466,103.63
  4. Step 4: Simplify right side
    31,550,937.75x = 2,348,963,200,589,238
  5. Step 5: Solve for x
    x = 2,348,963,200,589,238/31,550,937.75
  6. Step 6: Final answer
    x = 74,449,869.58

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