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Finding the Third Proportional to 220,646,242 and 480,076,568

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Solution

The third proportional to 220,646,242 and 480,076,568 is: 1,044,538,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,646,242 : 480,076,568 = 480,076,568 : x
  2. Step 2: Convert to fraction form
    220,646,242/480,076,568 = 480,076,568/x
  3. Step 3: Cross multiply
    220,646,242x = 480,076,568 × 480,076,568
  4. Step 4: Simplify right side
    220,646,242x = 230,473,511,142,658,624
  5. Step 5: Solve for x
    x = 230,473,511,142,658,624/220,646,242
  6. Step 6: Final answer
    x = 1,044,538,574.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.