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Finding the Third Proportional to 3,603,634 and 7,830,308

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Solution

The third proportional to 3,603,634 and 7,830,308 is: 17,014,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603,634 : 7,830,308 = 7,830,308 : x
  2. Step 2: Convert to fraction form
    3,603,634/7,830,308 = 7,830,308/x
  3. Step 3: Cross multiply
    3,603,634x = 7,830,308 × 7,830,308
  4. Step 4: Simplify right side
    3,603,634x = 61,313,723,374,864
  5. Step 5: Solve for x
    x = 61,313,723,374,864/3,603,634
  6. Step 6: Final answer
    x = 17,014,414.72

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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.