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Finding the Third Proportional to 7,837,431.25 and 12,105,604.25

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Solution

The third proportional to 7,837,431.25 and 12,105,604.25 is: 18,698,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,431.25 : 12,105,604.25 = 12,105,604.25 : x
  2. Step 2: Convert to fraction form
    7,837,431.25/12,105,604.25 = 12,105,604.25/x
  3. Step 3: Cross multiply
    7,837,431.25x = 12,105,604.25 × 12,105,604.25
  4. Step 4: Simplify right side
    7,837,431.25x = 146,545,654,257,618.06
  5. Step 5: Solve for x
    x = 146,545,654,257,618.06/7,837,431.25
  6. Step 6: Final answer
    x = 18,698,174.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.