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Finding the Third Proportional to 24,589,752.75 and 52,963,924.50

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Solution

The third proportional to 24,589,752.75 and 52,963,924.50 is: 114,079,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589,752.75 : 52,963,924.50 = 52,963,924.50 : x
  2. Step 2: Convert to fraction form
    24,589,752.75/52,963,924.50 = 52,963,924.50/x
  3. Step 3: Cross multiply
    24,589,752.75x = 52,963,924.50 × 52,963,924.50
  4. Step 4: Simplify right side
    24,589,752.75x = 2,805,177,298,441,700
  5. Step 5: Solve for x
    x = 2,805,177,298,441,700/24,589,752.75
  6. Step 6: Final answer
    x = 114,079,117.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.