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Finding the Third Proportional to 6,384,360 and 14,009,313

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Solution

The third proportional to 6,384,360 and 14,009,313 is: 30,740,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,360 : 14,009,313 = 14,009,313 : x
  2. Step 2: Convert to fraction form
    6,384,360/14,009,313 = 14,009,313/x
  3. Step 3: Cross multiply
    6,384,360x = 14,009,313 × 14,009,313
  4. Step 4: Simplify right side
    6,384,360x = 196,260,850,731,969
  5. Step 5: Solve for x
    x = 196,260,850,731,969/6,384,360
  6. Step 6: Final answer
    x = 30,740,880.95

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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.