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Finding the Third Proportional to 1,205,646,728 and 2,596,030,098

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Solution

The third proportional to 1,205,646,728 and 2,596,030,098 is: 5,589,839,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,646,728 : 2,596,030,098 = 2,596,030,098 : x
  2. Step 2: Convert to fraction form
    1,205,646,728/2,596,030,098 = 2,596,030,098/x
  3. Step 3: Cross multiply
    1,205,646,728x = 2,596,030,098 × 2,596,030,098
  4. Step 4: Simplify right side
    1,205,646,728x = 6,739,372,269,721,889,792
  5. Step 5: Solve for x
    x = 6,739,372,269,721,889,792/1,205,646,728
  6. Step 6: Final answer
    x = 5,589,839,969.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.