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Finding the Third Proportional to 14,907,617.16 and 31,534,062.54

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Solution

The third proportional to 14,907,617.16 and 31,534,062.54 is: 66,703,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907,617.16 : 31,534,062.54 = 31,534,062.54 : x
  2. Step 2: Convert to fraction form
    14,907,617.16/31,534,062.54 = 31,534,062.54/x
  3. Step 3: Cross multiply
    14,907,617.16x = 31,534,062.54 × 31,534,062.54
  4. Step 4: Simplify right side
    14,907,617.16x = 994,397,100,217,473.38
  5. Step 5: Solve for x
    x = 994,397,100,217,473.38/14,907,617.16
  6. Step 6: Final answer
    x = 66,703,960.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.