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Finding the Third Proportional to 2,706,945 and 6,019,118.25

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Solution

The third proportional to 2,706,945 and 6,019,118.25 is: 13,384,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,945 : 6,019,118.25 = 6,019,118.25 : x
  2. Step 2: Convert to fraction form
    2,706,945/6,019,118.25 = 6,019,118.25/x
  3. Step 3: Cross multiply
    2,706,945x = 6,019,118.25 × 6,019,118.25
  4. Step 4: Simplify right side
    2,706,945x = 36,229,784,507,483.06
  5. Step 5: Solve for x
    x = 36,229,784,507,483.06/2,706,945
  6. Step 6: Final answer
    x = 13,384,012.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.