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Finding the Third Proportional to 1,644,199,807 and 2,375,584,786

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Solution

The third proportional to 1,644,199,807 and 2,375,584,786 is: 3,432,309,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,199,807 : 2,375,584,786 = 2,375,584,786 : x
  2. Step 2: Convert to fraction form
    1,644,199,807/2,375,584,786 = 2,375,584,786/x
  3. Step 3: Cross multiply
    1,644,199,807x = 2,375,584,786 × 2,375,584,786
  4. Step 4: Simplify right side
    1,644,199,807x = 5,643,403,075,474,665,472
  5. Step 5: Solve for x
    x = 5,643,403,075,474,665,472/1,644,199,807
  6. Step 6: Final answer
    x = 3,432,309,778.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.