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Finding the Third Proportional to 2,879,820.84 and 6,187,014.14

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Solution

The third proportional to 2,879,820.84 and 6,187,014.14 is: 13,292,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,820.84 : 6,187,014.14 = 6,187,014.14 : x
  2. Step 2: Convert to fraction form
    2,879,820.84/6,187,014.14 = 6,187,014.14/x
  3. Step 3: Cross multiply
    2,879,820.84x = 6,187,014.14 × 6,187,014.14
  4. Step 4: Simplify right side
    2,879,820.84x = 38,279,143,976,293.71
  5. Step 5: Solve for x
    x = 38,279,143,976,293.71/2,879,820.84
  6. Step 6: Final answer
    x = 13,292,196.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.