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Finding the Third Proportional to 6,583,899,650 and 10,030,202,067

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Solution

The third proportional to 6,583,899,650 and 10,030,202,067 is: 15,280,450,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583,899,650 : 10,030,202,067 = 10,030,202,067 : x
  2. Step 2: Convert to fraction form
    6,583,899,650/10,030,202,067 = 10,030,202,067/x
  3. Step 3: Cross multiply
    6,583,899,650x = 10,030,202,067 × 10,030,202,067
  4. Step 4: Simplify right side
    6,583,899,650x = 100,604,953,504,851,066,880
  5. Step 5: Solve for x
    x = 100,604,953,504,851,066,880/6,583,899,650
  6. Step 6: Final answer
    x = 15,280,450,622.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.