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Finding the Third Proportional to 1,244,082,716 and 2,672,790,316

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Solution

The third proportional to 1,244,082,716 and 2,672,790,316 is: 5,742,229,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,082,716 : 2,672,790,316 = 2,672,790,316 : x
  2. Step 2: Convert to fraction form
    1,244,082,716/2,672,790,316 = 2,672,790,316/x
  3. Step 3: Cross multiply
    1,244,082,716x = 2,672,790,316 × 2,672,790,316
  4. Step 4: Simplify right side
    1,244,082,716x = 7,143,808,073,303,379,968
  5. Step 5: Solve for x
    x = 7,143,808,073,303,379,968/1,244,082,716
  6. Step 6: Final answer
    x = 5,742,229,179.32

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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.