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Finding the Third Proportional to 3,163,752 and 6,825,168

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Solution

The third proportional to 3,163,752 and 6,825,168 is: 14,723,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,752 : 6,825,168 = 6,825,168 : x
  2. Step 2: Convert to fraction form
    3,163,752/6,825,168 = 6,825,168/x
  3. Step 3: Cross multiply
    3,163,752x = 6,825,168 × 6,825,168
  4. Step 4: Simplify right side
    3,163,752x = 46,582,918,228,224
  5. Step 5: Solve for x
    x = 46,582,918,228,224/3,163,752
  6. Step 6: Final answer
    x = 14,723,947.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.