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Finding the Third Proportional to 1,178,360,082 and 1,767,540,123

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Solution

The third proportional to 1,178,360,082 and 1,767,540,123 is: 2,651,310,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,360,082 : 1,767,540,123 = 1,767,540,123 : x
  2. Step 2: Convert to fraction form
    1,178,360,082/1,767,540,123 = 1,767,540,123/x
  3. Step 3: Cross multiply
    1,178,360,082x = 1,767,540,123 × 1,767,540,123
  4. Step 4: Simplify right side
    1,178,360,082x = 3,124,198,086,414,855,168
  5. Step 5: Solve for x
    x = 3,124,198,086,414,855,168/1,178,360,082
  6. Step 6: Final answer
    x = 2,651,310,184.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.