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Finding the Third Proportional to 9,200,845.69 and 14,287,465.97

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Solution

The third proportional to 9,200,845.69 and 14,287,465.97 is: 22,186,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200,845.69 : 14,287,465.97 = 14,287,465.97 : x
  2. Step 2: Convert to fraction form
    9,200,845.69/14,287,465.97 = 14,287,465.97/x
  3. Step 3: Cross multiply
    9,200,845.69x = 14,287,465.97 × 14,287,465.97
  4. Step 4: Simplify right side
    9,200,845.69x = 204,131,683,808,189.38
  5. Step 5: Solve for x
    x = 204,131,683,808,189.38/9,200,845.69
  6. Step 6: Final answer
    x = 22,186,187.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.