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Finding the Third Proportional to 7,580,208 and 15,464,912

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Solution

The third proportional to 7,580,208 and 15,464,912 is: 31,551,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580,208 : 15,464,912 = 15,464,912 : x
  2. Step 2: Convert to fraction form
    7,580,208/15,464,912 = 15,464,912/x
  3. Step 3: Cross multiply
    7,580,208x = 15,464,912 × 15,464,912
  4. Step 4: Simplify right side
    7,580,208x = 239,163,503,167,744
  5. Step 5: Solve for x
    x = 239,163,503,167,744/7,580,208
  6. Step 6: Final answer
    x = 31,551,047.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.