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Finding the Third Proportional to 3,411,207 and 7,463,322

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Solution

The third proportional to 3,411,207 and 7,463,322 is: 16,328,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411,207 : 7,463,322 = 7,463,322 : x
  2. Step 2: Convert to fraction form
    3,411,207/7,463,322 = 7,463,322/x
  3. Step 3: Cross multiply
    3,411,207x = 7,463,322 × 7,463,322
  4. Step 4: Simplify right side
    3,411,207x = 55,701,175,275,684
  5. Step 5: Solve for x
    x = 55,701,175,275,684/3,411,207
  6. Step 6: Final answer
    x = 16,328,875.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.