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Finding the Third Proportional to 6,817,851 and 14,581,296

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Solution

The third proportional to 6,817,851 and 14,581,296 is: 31,184,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817,851 : 14,581,296 = 14,581,296 : x
  2. Step 2: Convert to fraction form
    6,817,851/14,581,296 = 14,581,296/x
  3. Step 3: Cross multiply
    6,817,851x = 14,581,296 × 14,581,296
  4. Step 4: Simplify right side
    6,817,851x = 212,614,193,039,616
  5. Step 5: Solve for x
    x = 212,614,193,039,616/6,817,851
  6. Step 6: Final answer
    x = 31,184,928.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.