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Finding the Third Proportional to 9,669,997.13 and 14,629,568.63

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Solution

The third proportional to 9,669,997.13 and 14,629,568.63 is: 22,132,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669,997.13 : 14,629,568.63 = 14,629,568.63 : x
  2. Step 2: Convert to fraction form
    9,669,997.13/14,629,568.63 = 14,629,568.63/x
  3. Step 3: Cross multiply
    9,669,997.13x = 14,629,568.63 × 14,629,568.63
  4. Step 4: Simplify right side
    9,669,997.13x = 214,024,278,153,584.38
  5. Step 5: Solve for x
    x = 214,024,278,153,584.38/9,669,997.13
  6. Step 6: Final answer
    x = 22,132,817.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.