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Finding the Third Proportional to 9,626,216 and 14,441,390

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Solution

The third proportional to 9,626,216 and 14,441,390 is: 21,665,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626,216 : 14,441,390 = 14,441,390 : x
  2. Step 2: Convert to fraction form
    9,626,216/14,441,390 = 14,441,390/x
  3. Step 3: Cross multiply
    9,626,216x = 14,441,390 × 14,441,390
  4. Step 4: Simplify right side
    9,626,216x = 208,553,745,132,100
  5. Step 5: Solve for x
    x = 208,553,745,132,100/9,626,216
  6. Step 6: Final answer
    x = 21,665,184.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.