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Finding the Third Proportional to 2,614,774.50 and 5,649,698.25

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Solution

The third proportional to 2,614,774.50 and 5,649,698.25 is: 12,207,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,774.50 : 5,649,698.25 = 5,649,698.25 : x
  2. Step 2: Convert to fraction form
    2,614,774.50/5,649,698.25 = 5,649,698.25/x
  3. Step 3: Cross multiply
    2,614,774.50x = 5,649,698.25 × 5,649,698.25
  4. Step 4: Simplify right side
    2,614,774.50x = 31,919,090,316,053.06
  5. Step 5: Solve for x
    x = 31,919,090,316,053.06/2,614,774.50
  6. Step 6: Final answer
    x = 12,207,205.75

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