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Finding the Third Proportional to 1,329,366,609 and 3,077,243,145

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Solution

The third proportional to 1,329,366,609 and 3,077,243,145 is: 7,123,261,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,366,609 : 3,077,243,145 = 3,077,243,145 : x
  2. Step 2: Convert to fraction form
    1,329,366,609/3,077,243,145 = 3,077,243,145/x
  3. Step 3: Cross multiply
    1,329,366,609x = 3,077,243,145 × 3,077,243,145
  4. Step 4: Simplify right side
    1,329,366,609x = 9,469,425,373,449,490,432
  5. Step 5: Solve for x
    x = 9,469,425,373,449,490,432/1,329,366,609
  6. Step 6: Final answer
    x = 7,123,261,039.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.