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Finding the Third Proportional to 6,502,451 and 14,149,597

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Solution

The third proportional to 6,502,451 and 14,149,597 is: 30,790,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,451 : 14,149,597 = 14,149,597 : x
  2. Step 2: Convert to fraction form
    6,502,451/14,149,597 = 14,149,597/x
  3. Step 3: Cross multiply
    6,502,451x = 14,149,597 × 14,149,597
  4. Step 4: Simplify right side
    6,502,451x = 200,211,095,262,409
  5. Step 5: Solve for x
    x = 200,211,095,262,409/6,502,451
  6. Step 6: Final answer
    x = 30,790,096.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.