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Finding the Third Proportional to 2,628,101 and 5,649,106

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Solution

The third proportional to 2,628,101 and 5,649,106 is: 12,142,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628,101 : 5,649,106 = 5,649,106 : x
  2. Step 2: Convert to fraction form
    2,628,101/5,649,106 = 5,649,106/x
  3. Step 3: Cross multiply
    2,628,101x = 5,649,106 × 5,649,106
  4. Step 4: Simplify right side
    2,628,101x = 31,912,398,599,236
  5. Step 5: Solve for x
    x = 31,912,398,599,236/2,628,101
  6. Step 6: Final answer
    x = 12,142,759.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.