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Finding the Third Proportional to 6,197,218 and 13,423,544

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Solution

The third proportional to 6,197,218 and 13,423,544 is: 29,076,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,218 : 13,423,544 = 13,423,544 : x
  2. Step 2: Convert to fraction form
    6,197,218/13,423,544 = 13,423,544/x
  3. Step 3: Cross multiply
    6,197,218x = 13,423,544 × 13,423,544
  4. Step 4: Simplify right side
    6,197,218x = 180,191,533,519,936
  5. Step 5: Solve for x
    x = 180,191,533,519,936/6,197,218
  6. Step 6: Final answer
    x = 29,076,197.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.