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Finding the Third Proportional to 650,137,392 and 1,388,446,848

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Solution

The third proportional to 650,137,392 and 1,388,446,848 is: 2,965,195,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,137,392 : 1,388,446,848 = 1,388,446,848 : x
  2. Step 2: Convert to fraction form
    650,137,392/1,388,446,848 = 1,388,446,848/x
  3. Step 3: Cross multiply
    650,137,392x = 1,388,446,848 × 1,388,446,848
  4. Step 4: Simplify right side
    650,137,392x = 1,927,784,649,721,135,104
  5. Step 5: Solve for x
    x = 1,927,784,649,721,135,104/650,137,392
  6. Step 6: Final answer
    x = 2,965,195,777.76

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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.