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Finding the Third Proportional to 3,879,297 and 8,430,083

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Solution

The third proportional to 3,879,297 and 8,430,083 is: 18,319,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,297 : 8,430,083 = 8,430,083 : x
  2. Step 2: Convert to fraction form
    3,879,297/8,430,083 = 8,430,083/x
  3. Step 3: Cross multiply
    3,879,297x = 8,430,083 × 8,430,083
  4. Step 4: Simplify right side
    3,879,297x = 71,066,299,386,889
  5. Step 5: Solve for x
    x = 71,066,299,386,889/3,879,297
  6. Step 6: Final answer
    x = 18,319,375.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.