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Finding the Third Proportional to 4,335,996 and 6,441,138

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Solution

The third proportional to 4,335,996 and 6,441,138 is: 9,568,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335,996 : 6,441,138 = 6,441,138 : x
  2. Step 2: Convert to fraction form
    4,335,996/6,441,138 = 6,441,138/x
  3. Step 3: Cross multiply
    4,335,996x = 6,441,138 × 6,441,138
  4. Step 4: Simplify right side
    4,335,996x = 41,488,258,735,044
  5. Step 5: Solve for x
    x = 41,488,258,735,044/4,335,996
  6. Step 6: Final answer
    x = 9,568,334.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.