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Finding the Third Proportional to 6,457,992 and 14,050,947

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Solution

The third proportional to 6,457,992 and 14,050,947 is: 30,571,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,992 : 14,050,947 = 14,050,947 : x
  2. Step 2: Convert to fraction form
    6,457,992/14,050,947 = 14,050,947/x
  3. Step 3: Cross multiply
    6,457,992x = 14,050,947 × 14,050,947
  4. Step 4: Simplify right side
    6,457,992x = 197,429,111,596,809
  5. Step 5: Solve for x
    x = 197,429,111,596,809/6,457,992
  6. Step 6: Final answer
    x = 30,571,284.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.