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Finding the Third Proportional to 3,131,721.56 and 6,549,783.19

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Solution

The third proportional to 3,131,721.56 and 6,549,783.19 is: 13,698,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131,721.56 : 6,549,783.19 = 6,549,783.19 : x
  2. Step 2: Convert to fraction form
    3,131,721.56/6,549,783.19 = 6,549,783.19/x
  3. Step 3: Cross multiply
    3,131,721.56x = 6,549,783.19 × 6,549,783.19
  4. Step 4: Simplify right side
    3,131,721.56x = 42,899,659,803,257.66
  5. Step 5: Solve for x
    x = 42,899,659,803,257.66/3,131,721.56
  6. Step 6: Final answer
    x = 13,698,427.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.