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Finding the Third Proportional to 9,166,515 and 20,163,465

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Solution

The third proportional to 9,166,515 and 20,163,465 is: 44,353,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166,515 : 20,163,465 = 20,163,465 : x
  2. Step 2: Convert to fraction form
    9,166,515/20,163,465 = 20,163,465/x
  3. Step 3: Cross multiply
    9,166,515x = 20,163,465 × 20,163,465
  4. Step 4: Simplify right side
    9,166,515x = 406,565,320,806,225
  5. Step 5: Solve for x
    x = 406,565,320,806,225/9,166,515
  6. Step 6: Final answer
    x = 44,353,314.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.