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Finding the Third Proportional to 2,981,730 and 6,549,216

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Solution

The third proportional to 2,981,730 and 6,549,216 is: 14,385,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,730 : 6,549,216 = 6,549,216 : x
  2. Step 2: Convert to fraction form
    2,981,730/6,549,216 = 6,549,216/x
  3. Step 3: Cross multiply
    2,981,730x = 6,549,216 × 6,549,216
  4. Step 4: Simplify right side
    2,981,730x = 42,892,230,214,656
  5. Step 5: Solve for x
    x = 42,892,230,214,656/2,981,730
  6. Step 6: Final answer
    x = 14,385,014.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.