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Finding the Third Proportional to 1,630,298,691 and 3,444,610,182

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Solution

The third proportional to 1,630,298,691 and 3,444,610,182 is: 7,278,015,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,298,691 : 3,444,610,182 = 3,444,610,182 : x
  2. Step 2: Convert to fraction form
    1,630,298,691/3,444,610,182 = 3,444,610,182/x
  3. Step 3: Cross multiply
    1,630,298,691x = 3,444,610,182 × 3,444,610,182
  4. Step 4: Simplify right side
    1,630,298,691x = 11,865,339,305,938,073,600
  5. Step 5: Solve for x
    x = 11,865,339,305,938,073,600/1,630,298,691
  6. Step 6: Final answer
    x = 7,278,015,600.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.