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Finding the Third Proportional to 9,405,912 and 14,072,310

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Solution

The third proportional to 9,405,912 and 14,072,310 is: 21,053,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405,912 : 14,072,310 = 14,072,310 : x
  2. Step 2: Convert to fraction form
    9,405,912/14,072,310 = 14,072,310/x
  3. Step 3: Cross multiply
    9,405,912x = 14,072,310 × 14,072,310
  4. Step 4: Simplify right side
    9,405,912x = 198,029,908,736,100
  5. Step 5: Solve for x
    x = 198,029,908,736,100/9,405,912
  6. Step 6: Final answer
    x = 21,053,770.09

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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.