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Finding the Third Proportional to 3,028,712 and 6,477,648

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Solution

The third proportional to 3,028,712 and 6,477,648 is: 13,854,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028,712 : 6,477,648 = 6,477,648 : x
  2. Step 2: Convert to fraction form
    3,028,712/6,477,648 = 6,477,648/x
  3. Step 3: Cross multiply
    3,028,712x = 6,477,648 × 6,477,648
  4. Step 4: Simplify right side
    3,028,712x = 41,959,923,611,904
  5. Step 5: Solve for x
    x = 41,959,923,611,904/3,028,712
  6. Step 6: Final answer
    x = 13,854,048.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.