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Finding the Third Proportional to 9,466,320 and 20,734,554

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Solution

The third proportional to 9,466,320 and 20,734,554 is: 45,415,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466,320 : 20,734,554 = 20,734,554 : x
  2. Step 2: Convert to fraction form
    9,466,320/20,734,554 = 20,734,554/x
  3. Step 3: Cross multiply
    9,466,320x = 20,734,554 × 20,734,554
  4. Step 4: Simplify right side
    9,466,320x = 429,921,729,578,916
  5. Step 5: Solve for x
    x = 429,921,729,578,916/9,466,320
  6. Step 6: Final answer
    x = 45,415,930.33

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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.