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Finding the Third Proportional to 296,538,903 and 617,621,816.25

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Solution

The third proportional to 296,538,903 and 617,621,816.25 is: 1,286,363,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538,903 : 617,621,816.25 = 617,621,816.25 : x
  2. Step 2: Convert to fraction form
    296,538,903/617,621,816.25 = 617,621,816.25/x
  3. Step 3: Cross multiply
    296,538,903x = 617,621,816.25 × 617,621,816.25
  4. Step 4: Simplify right side
    296,538,903x = 381,456,707,907,948,736
  5. Step 5: Solve for x
    x = 381,456,707,907,948,736/296,538,903
  6. Step 6: Final answer
    x = 1,286,363,118.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.