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Finding the Third Proportional to 211,266,272 and 447,967,832

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Solution

The third proportional to 211,266,272 and 447,967,832 is: 949,868,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266,272 : 447,967,832 = 447,967,832 : x
  2. Step 2: Convert to fraction form
    211,266,272/447,967,832 = 447,967,832/x
  3. Step 3: Cross multiply
    211,266,272x = 447,967,832 × 447,967,832
  4. Step 4: Simplify right side
    211,266,272x = 200,675,178,506,780,224
  5. Step 5: Solve for x
    x = 200,675,178,506,780,224/211,266,272
  6. Step 6: Final answer
    x = 949,868,507.68

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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.