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Finding the Third Proportional to 9,434,774 and 20,577,509

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Solution

The third proportional to 9,434,774 and 20,577,509 is: 44,880,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434,774 : 20,577,509 = 20,577,509 : x
  2. Step 2: Convert to fraction form
    9,434,774/20,577,509 = 20,577,509/x
  3. Step 3: Cross multiply
    9,434,774x = 20,577,509 × 20,577,509
  4. Step 4: Simplify right side
    9,434,774x = 423,433,876,645,081
  5. Step 5: Solve for x
    x = 423,433,876,645,081/9,434,774
  6. Step 6: Final answer
    x = 44,880,129.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.