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Finding the Third Proportional to 9,436,726 and 20,415,836

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Solution

The third proportional to 9,436,726 and 20,415,836 is: 44,168,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436,726 : 20,415,836 = 20,415,836 : x
  2. Step 2: Convert to fraction form
    9,436,726/20,415,836 = 20,415,836/x
  3. Step 3: Cross multiply
    9,436,726x = 20,415,836 × 20,415,836
  4. Step 4: Simplify right side
    9,436,726x = 416,806,359,578,896
  5. Step 5: Solve for x
    x = 416,806,359,578,896/9,436,726
  6. Step 6: Final answer
    x = 44,168,534.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.