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Finding the Third Proportional to 9,032,033.25 and 14,542,950.94

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Solution

The third proportional to 9,032,033.25 and 14,542,950.94 is: 23,416,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032,033.25 : 14,542,950.94 = 14,542,950.94 : x
  2. Step 2: Convert to fraction form
    9,032,033.25/14,542,950.94 = 14,542,950.94/x
  3. Step 3: Cross multiply
    9,032,033.25x = 14,542,950.94 × 14,542,950.94
  4. Step 4: Simplify right side
    9,032,033.25x = 211,497,421,970,532.12
  5. Step 5: Solve for x
    x = 211,497,421,970,532.12/9,032,033.25
  6. Step 6: Final answer
    x = 23,416,368.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.