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Finding the Third Proportional to 219,380,753,430 and 444,929,994,367

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Solution

The third proportional to 219,380,753,430 and 444,929,994,367 is: 902,370,407,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,380,753,430 : 444,929,994,367 = 444,929,994,367 : x
  2. Step 2: Convert to fraction form
    219,380,753,430/444,929,994,367 = 444,929,994,367/x
  3. Step 3: Cross multiply
    219,380,753,430x = 444,929,994,367 × 444,929,994,367
  4. Step 4: Simplify right side
    219,380,753,430x = 197,962,699,887,418,644,889,600
  5. Step 5: Solve for x
    x = 197,962,699,887,418,644,889,600/219,380,753,430
  6. Step 6: Final answer
    x = 902,370,407,578.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.