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Finding the Third Proportional to 729,654,200 and 1,605,237,808

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Solution

The third proportional to 729,654,200 and 1,605,237,808 is: 3,531,520,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,654,200 : 1,605,237,808 = 1,605,237,808 : x
  2. Step 2: Convert to fraction form
    729,654,200/1,605,237,808 = 1,605,237,808/x
  3. Step 3: Cross multiply
    729,654,200x = 1,605,237,808 × 1,605,237,808
  4. Step 4: Simplify right side
    729,654,200x = 2,576,788,420,232,644,608
  5. Step 5: Solve for x
    x = 2,576,788,420,232,644,608/729,654,200
  6. Step 6: Final answer
    x = 3,531,520,027.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.