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Finding the Third Proportional to 9,629,307 and 14,958,152

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Solution

The third proportional to 9,629,307 and 14,958,152 is: 23,235,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,307 : 14,958,152 = 14,958,152 : x
  2. Step 2: Convert to fraction form
    9,629,307/14,958,152 = 14,958,152/x
  3. Step 3: Cross multiply
    9,629,307x = 14,958,152 × 14,958,152
  4. Step 4: Simplify right side
    9,629,307x = 223,746,311,255,104
  5. Step 5: Solve for x
    x = 223,746,311,255,104/9,629,307
  6. Step 6: Final answer
    x = 23,235,972.36

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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.