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Finding the Third Proportional to 6,194,931 and 13,286,649

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Solution

The third proportional to 6,194,931 and 13,286,649 is: 28,496,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,931 : 13,286,649 = 13,286,649 : x
  2. Step 2: Convert to fraction form
    6,194,931/13,286,649 = 13,286,649/x
  3. Step 3: Cross multiply
    6,194,931x = 13,286,649 × 13,286,649
  4. Step 4: Simplify right side
    6,194,931x = 176,535,041,649,201
  5. Step 5: Solve for x
    x = 176,535,041,649,201/6,194,931
  6. Step 6: Final answer
    x = 28,496,692.16

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