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Finding the Third Proportional to 23,093,801.16 and 32,286,494.95

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Solution

The third proportional to 23,093,801.16 and 32,286,494.95 is: 45,138,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,093,801.16 : 32,286,494.95 = 32,286,494.95 : x
  2. Step 2: Convert to fraction form
    23,093,801.16/32,286,494.95 = 32,286,494.95/x
  3. Step 3: Cross multiply
    23,093,801.16x = 32,286,494.95 × 32,286,494.95
  4. Step 4: Simplify right side
    23,093,801.16x = 1,042,417,756,358,166.12
  5. Step 5: Solve for x
    x = 1,042,417,756,358,166.12/23,093,801.16
  6. Step 6: Final answer
    x = 45,138,422.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.