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Finding the Third Proportional to 9,220,896 and 20,235,408

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Solution

The third proportional to 9,220,896 and 20,235,408 is: 44,406,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220,896 : 20,235,408 = 20,235,408 : x
  2. Step 2: Convert to fraction form
    9,220,896/20,235,408 = 20,235,408/x
  3. Step 3: Cross multiply
    9,220,896x = 20,235,408 × 20,235,408
  4. Step 4: Simplify right side
    9,220,896x = 409,471,736,926,464
  5. Step 5: Solve for x
    x = 409,471,736,926,464/9,220,896
  6. Step 6: Final answer
    x = 44,406,935.83

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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.