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Finding the Third Proportional to 219,380,753,440 and 444,929,994,388

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Solution

The third proportional to 219,380,753,440 and 444,929,994,388 is: 902,370,407,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,380,753,440 : 444,929,994,388 = 444,929,994,388 : x
  2. Step 2: Convert to fraction form
    219,380,753,440/444,929,994,388 = 444,929,994,388/x
  3. Step 3: Cross multiply
    219,380,753,440x = 444,929,994,388 × 444,929,994,388
  4. Step 4: Simplify right side
    219,380,753,440x = 197,962,699,906,105,712,050,176
  5. Step 5: Solve for x
    x = 197,962,699,906,105,712,050,176/219,380,753,440
  6. Step 6: Final answer
    x = 902,370,407,622.14

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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.