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Finding the Third Proportional to 5,207,222.25 and 7,805,700

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Solution

The third proportional to 5,207,222.25 and 7,805,700 is: 11,700,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207,222.25 : 7,805,700 = 7,805,700 : x
  2. Step 2: Convert to fraction form
    5,207,222.25/7,805,700 = 7,805,700/x
  3. Step 3: Cross multiply
    5,207,222.25x = 7,805,700 × 7,805,700
  4. Step 4: Simplify right side
    5,207,222.25x = 60,928,952,490,000
  5. Step 5: Solve for x
    x = 60,928,952,490,000/5,207,222.25
  6. Step 6: Final answer
    x = 11,700,855.00

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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.