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Finding the Third Proportional to 9,368,163.84 and 20,890,341.56

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Solution

The third proportional to 9,368,163.84 and 20,890,341.56 is: 46,583,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368,163.84 : 20,890,341.56 = 20,890,341.56 : x
  2. Step 2: Convert to fraction form
    9,368,163.84/20,890,341.56 = 20,890,341.56/x
  3. Step 3: Cross multiply
    9,368,163.84x = 20,890,341.56 × 20,890,341.56
  4. Step 4: Simplify right side
    9,368,163.84x = 436,406,370,597,914.94
  5. Step 5: Solve for x
    x = 436,406,370,597,914.94/9,368,163.84
  6. Step 6: Final answer
    x = 46,583,981.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.