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Finding the Third Proportional to 8,857,431 and 14,463,279

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Solution

The third proportional to 8,857,431 and 14,463,279 is: 23,617,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857,431 : 14,463,279 = 14,463,279 : x
  2. Step 2: Convert to fraction form
    8,857,431/14,463,279 = 14,463,279/x
  3. Step 3: Cross multiply
    8,857,431x = 14,463,279 × 14,463,279
  4. Step 4: Simplify right side
    8,857,431x = 209,186,439,431,841
  5. Step 5: Solve for x
    x = 209,186,439,431,841/8,857,431
  6. Step 6: Final answer
    x = 23,617,055.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.