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Finding the Third Proportional to 9,629,311 and 14,958,156

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Solution

The third proportional to 9,629,311 and 14,958,156 is: 23,235,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,311 : 14,958,156 = 14,958,156 : x
  2. Step 2: Convert to fraction form
    9,629,311/14,958,156 = 14,958,156/x
  3. Step 3: Cross multiply
    9,629,311x = 14,958,156 × 14,958,156
  4. Step 4: Simplify right side
    9,629,311x = 223,746,430,920,336
  5. Step 5: Solve for x
    x = 223,746,430,920,336/9,629,311
  6. Step 6: Final answer
    x = 23,235,975.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.