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Finding the Third Proportional to 630,844,796 and 1,380,612,824

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Solution

The third proportional to 630,844,796 and 1,380,612,824 is: 3,021,490,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,844,796 : 1,380,612,824 = 1,380,612,824 : x
  2. Step 2: Convert to fraction form
    630,844,796/1,380,612,824 = 1,380,612,824/x
  3. Step 3: Cross multiply
    630,844,796x = 1,380,612,824 × 1,380,612,824
  4. Step 4: Simplify right side
    630,844,796x = 1,906,091,769,793,254,912
  5. Step 5: Solve for x
    x = 1,906,091,769,793,254,912/630,844,796
  6. Step 6: Final answer
    x = 3,021,490,835.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.