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Finding the Third Proportional to 1,035,778,519 and 2,219,297,636

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Solution

The third proportional to 1,035,778,519 and 2,219,297,636 is: 4,755,149,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,778,519 : 2,219,297,636 = 2,219,297,636 : x
  2. Step 2: Convert to fraction form
    1,035,778,519/2,219,297,636 = 2,219,297,636/x
  3. Step 3: Cross multiply
    1,035,778,519x = 2,219,297,636 × 2,219,297,636
  4. Step 4: Simplify right side
    1,035,778,519x = 4,925,281,997,155,188,736
  5. Step 5: Solve for x
    x = 4,925,281,997,155,188,736/1,035,778,519
  6. Step 6: Final answer
    x = 4,755,149,780.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.