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Finding the Third Proportional to 9,466,315 and 20,734,546

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Solution

The third proportional to 9,466,315 and 20,734,546 is: 45,415,919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466,315 : 20,734,546 = 20,734,546 : x
  2. Step 2: Convert to fraction form
    9,466,315/20,734,546 = 20,734,546/x
  3. Step 3: Cross multiply
    9,466,315x = 20,734,546 × 20,734,546
  4. Step 4: Simplify right side
    9,466,315x = 429,921,397,826,116
  5. Step 5: Solve for x
    x = 429,921,397,826,116/9,466,315
  6. Step 6: Final answer
    x = 45,415,919.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.