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Finding the Third Proportional to 1,295,347,396 and 2,003,554,662

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Solution

The third proportional to 1,295,347,396 and 2,003,554,662 is: 3,098,961,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,347,396 : 2,003,554,662 = 2,003,554,662 : x
  2. Step 2: Convert to fraction form
    1,295,347,396/2,003,554,662 = 2,003,554,662/x
  3. Step 3: Cross multiply
    1,295,347,396x = 2,003,554,662 × 2,003,554,662
  4. Step 4: Simplify right side
    1,295,347,396x = 4,014,231,283,621,934,080
  5. Step 5: Solve for x
    x = 4,014,231,283,621,934,080/1,295,347,396
  6. Step 6: Final answer
    x = 3,098,961,171.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.