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Finding the Third Proportional to 281,242,256 and 447,531,069

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Solution

The third proportional to 281,242,256 and 447,531,069 is: 712,140,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,242,256 : 447,531,069 = 447,531,069 : x
  2. Step 2: Convert to fraction form
    281,242,256/447,531,069 = 447,531,069/x
  3. Step 3: Cross multiply
    281,242,256x = 447,531,069 × 447,531,069
  4. Step 4: Simplify right side
    281,242,256x = 200,284,057,720,282,752
  5. Step 5: Solve for x
    x = 200,284,057,720,282,752/281,242,256
  6. Step 6: Final answer
    x = 712,140,702.36

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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.