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Finding the Third Proportional to 1,537,494,082 and 2,296,166,046

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Solution

The third proportional to 1,537,494,082 and 2,296,166,046 is: 3,429,202,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,494,082 : 2,296,166,046 = 2,296,166,046 : x
  2. Step 2: Convert to fraction form
    1,537,494,082/2,296,166,046 = 2,296,166,046/x
  3. Step 3: Cross multiply
    1,537,494,082x = 2,296,166,046 × 2,296,166,046
  4. Step 4: Simplify right side
    1,537,494,082x = 5,272,378,510,803,273,728
  5. Step 5: Solve for x
    x = 5,272,378,510,803,273,728/1,537,494,082
  6. Step 6: Final answer
    x = 3,429,202,474.68

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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.