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Finding the Third Proportional to 3,035,273,732 and 6,768,455,249

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Solution

The third proportional to 3,035,273,732 and 6,768,455,249 is: 15,093,197,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,273,732 : 6,768,455,249 = 6,768,455,249 : x
  2. Step 2: Convert to fraction form
    3,035,273,732/6,768,455,249 = 6,768,455,249/x
  3. Step 3: Cross multiply
    3,035,273,732x = 6,768,455,249 × 6,768,455,249
  4. Step 4: Simplify right side
    3,035,273,732x = 45,811,986,457,715,654,656
  5. Step 5: Solve for x
    x = 45,811,986,457,715,654,656/3,035,273,732
  6. Step 6: Final answer
    x = 15,093,197,682.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.