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Finding the Third Proportional to 6,583,899,626 and 10,030,202,031

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Solution

The third proportional to 6,583,899,626 and 10,030,202,031 is: 15,280,450,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583,899,626 : 10,030,202,031 = 10,030,202,031 : x
  2. Step 2: Convert to fraction form
    6,583,899,626/10,030,202,031 = 10,030,202,031/x
  3. Step 3: Cross multiply
    6,583,899,626x = 10,030,202,031 × 10,030,202,031
  4. Step 4: Simplify right side
    6,583,899,626x = 100,604,952,782,676,525,056
  5. Step 5: Solve for x
    x = 100,604,952,782,676,525,056/6,583,899,626
  6. Step 6: Final answer
    x = 15,280,450,568.44

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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.