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Finding the Third Proportional to 281,242,252 and 447,531,060

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Solution

The third proportional to 281,242,252 and 447,531,060 is: 712,140,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,242,252 : 447,531,060 = 447,531,060 : x
  2. Step 2: Convert to fraction form
    281,242,252/447,531,060 = 447,531,060/x
  3. Step 3: Cross multiply
    281,242,252x = 447,531,060 × 447,531,060
  4. Step 4: Simplify right side
    281,242,252x = 200,284,049,664,723,584
  5. Step 5: Solve for x
    x = 200,284,049,664,723,584/281,242,252
  6. Step 6: Final answer
    x = 712,140,683.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.