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Finding the Third Proportional to 9,447,844 and 20,076,668

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Solution

The third proportional to 9,447,844 and 20,076,668 is: 42,662,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,844 : 20,076,668 = 20,076,668 : x
  2. Step 2: Convert to fraction form
    9,447,844/20,076,668 = 20,076,668/x
  3. Step 3: Cross multiply
    9,447,844x = 20,076,668 × 20,076,668
  4. Step 4: Simplify right side
    9,447,844x = 403,072,597,982,224
  5. Step 5: Solve for x
    x = 403,072,597,982,224/9,447,844
  6. Step 6: Final answer
    x = 42,662,918.44

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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.