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Finding the Third Proportional to 23,083,283.81 and 36,022,418.72

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Solution

The third proportional to 23,083,283.81 and 36,022,418.72 is: 56,214,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083,283.81 : 36,022,418.72 = 36,022,418.72 : x
  2. Step 2: Convert to fraction form
    23,083,283.81/36,022,418.72 = 36,022,418.72/x
  3. Step 3: Cross multiply
    23,083,283.81x = 36,022,418.72 × 36,022,418.72
  4. Step 4: Simplify right side
    23,083,283.81x = 1,297,614,650,348,950.50
  5. Step 5: Solve for x
    x = 1,297,614,650,348,950.50/23,083,283.81
  6. Step 6: Final answer
    x = 56,214,473.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.