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Finding the Third Proportional to 3,478,595.63 and 7,574,745.38

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Solution

The third proportional to 3,478,595.63 and 7,574,745.38 is: 16,494,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,595.63 : 7,574,745.38 = 7,574,745.38 : x
  2. Step 2: Convert to fraction form
    3,478,595.63/7,574,745.38 = 7,574,745.38/x
  3. Step 3: Cross multiply
    3,478,595.63x = 7,574,745.38 × 7,574,745.38
  4. Step 4: Simplify right side
    3,478,595.63x = 57,376,767,496,083.89
  5. Step 5: Solve for x
    x = 57,376,767,496,083.89/3,478,595.63
  6. Step 6: Final answer
    x = 16,494,233.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.