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Finding the Third Proportional to 2,704,872,814.03 and 4,137,750,562.78

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Solution

The third proportional to 2,704,872,814.03 and 4,137,750,562.78 is: 6,329,680,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,872,814.03 : 4,137,750,562.78 = 4,137,750,562.78 : x
  2. Step 2: Convert to fraction form
    2,704,872,814.03/4,137,750,562.78 = 4,137,750,562.78/x
  3. Step 3: Cross multiply
    2,704,872,814.03x = 4,137,750,562.78 × 4,137,750,562.78
  4. Step 4: Simplify right side
    2,704,872,814.03x = 17,120,979,719,796,135,936
  5. Step 5: Solve for x
    x = 17,120,979,719,796,135,936/2,704,872,814.03
  6. Step 6: Final answer
    x = 6,329,680,135.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.