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Finding the Third Proportional to 6,519,290 and 14,160,492

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Solution

The third proportional to 6,519,290 and 14,160,492 is: 30,757,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,290 : 14,160,492 = 14,160,492 : x
  2. Step 2: Convert to fraction form
    6,519,290/14,160,492 = 14,160,492/x
  3. Step 3: Cross multiply
    6,519,290x = 14,160,492 × 14,160,492
  4. Step 4: Simplify right side
    6,519,290x = 200,519,533,682,064
  5. Step 5: Solve for x
    x = 200,519,533,682,064/6,519,290
  6. Step 6: Final answer
    x = 30,757,879.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.