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Finding the Third Proportional to 1,537,494,096 and 2,296,166,064

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Solution

The third proportional to 1,537,494,096 and 2,296,166,064 is: 3,429,202,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,494,096 : 2,296,166,064 = 2,296,166,064 : x
  2. Step 2: Convert to fraction form
    1,537,494,096/2,296,166,064 = 2,296,166,064/x
  3. Step 3: Cross multiply
    1,537,494,096x = 2,296,166,064 × 2,296,166,064
  4. Step 4: Simplify right side
    1,537,494,096x = 5,272,378,593,465,251,840
  5. Step 5: Solve for x
    x = 5,272,378,593,465,251,840/1,537,494,096
  6. Step 6: Final answer
    x = 3,429,202,497.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.