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Finding the Third Proportional to 4,370,233.50 and 6,855,604.59

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Solution

The third proportional to 4,370,233.50 and 6,855,604.59 is: 10,754,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,370,233.50 : 6,855,604.59 = 6,855,604.59 : x
  2. Step 2: Convert to fraction form
    4,370,233.50/6,855,604.59 = 6,855,604.59/x
  3. Step 3: Cross multiply
    4,370,233.50x = 6,855,604.59 × 6,855,604.59
  4. Step 4: Simplify right side
    4,370,233.50x = 46,999,314,345,846.10
  5. Step 5: Solve for x
    x = 46,999,314,345,846.10/4,370,233.50
  6. Step 6: Final answer
    x = 10,754,417.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.