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Finding the Third Proportional to 14,382,687.38 and 31,455,743.48

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Solution

The third proportional to 14,382,687.38 and 31,455,743.48 is: 68,795,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382,687.38 : 31,455,743.48 = 31,455,743.48 : x
  2. Step 2: Convert to fraction form
    14,382,687.38/31,455,743.48 = 31,455,743.48/x
  3. Step 3: Cross multiply
    14,382,687.38x = 31,455,743.48 × 31,455,743.48
  4. Step 4: Simplify right side
    14,382,687.38x = 989,463,798,154,800.25
  5. Step 5: Solve for x
    x = 989,463,798,154,800.25/14,382,687.38
  6. Step 6: Final answer
    x = 68,795,474.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.