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Finding the Third Proportional to 23,083,290 and 36,022,429.13

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Solution

The third proportional to 23,083,290 and 36,022,429.13 is: 56,214,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083,290 : 36,022,429.13 = 36,022,429.13 : x
  2. Step 2: Convert to fraction form
    23,083,290/36,022,429.13 = 36,022,429.13/x
  3. Step 3: Cross multiply
    23,083,290x = 36,022,429.13 × 36,022,429.13
  4. Step 4: Simplify right side
    23,083,290x = 1,297,615,400,065,648.25
  5. Step 5: Solve for x
    x = 1,297,615,400,065,648.25/23,083,290
  6. Step 6: Final answer
    x = 56,214,491.09

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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.