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Finding the Third Proportional to 3,131,724 and 6,549,787

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Solution

The third proportional to 3,131,724 and 6,549,787 is: 13,698,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131,724 : 6,549,787 = 6,549,787 : x
  2. Step 2: Convert to fraction form
    3,131,724/6,549,787 = 6,549,787/x
  3. Step 3: Cross multiply
    3,131,724x = 6,549,787 × 6,549,787
  4. Step 4: Simplify right side
    3,131,724x = 42,899,709,745,369
  5. Step 5: Solve for x
    x = 42,899,709,745,369/3,131,724
  6. Step 6: Final answer
    x = 13,698,432.48

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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.