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Finding the Third Proportional to 7,775,775 and 10,945,233

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Solution

The third proportional to 7,775,775 and 10,945,233 is: 15,406,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775,775 : 10,945,233 = 10,945,233 : x
  2. Step 2: Convert to fraction form
    7,775,775/10,945,233 = 10,945,233/x
  3. Step 3: Cross multiply
    7,775,775x = 10,945,233 × 10,945,233
  4. Step 4: Simplify right side
    7,775,775x = 119,798,125,424,289
  5. Step 5: Solve for x
    x = 119,798,125,424,289/7,775,775
  6. Step 6: Final answer
    x = 15,406,583.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.