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Finding the Third Proportional to 16,066,671.75 and 24,476,478.75

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Solution

The third proportional to 16,066,671.75 and 24,476,478.75 is: 37,288,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066,671.75 : 24,476,478.75 = 24,476,478.75 : x
  2. Step 2: Convert to fraction form
    16,066,671.75/24,476,478.75 = 24,476,478.75/x
  3. Step 3: Cross multiply
    16,066,671.75x = 24,476,478.75 × 24,476,478.75
  4. Step 4: Simplify right side
    16,066,671.75x = 599,098,011,999,201.50
  5. Step 5: Solve for x
    x = 599,098,011,999,201.50/16,066,671.75
  6. Step 6: Final answer
    x = 37,288,246.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.