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Finding the Third Proportional to 6,509,802 and 14,259,708

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Solution

The third proportional to 6,509,802 and 14,259,708 is: 31,235,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,802 : 14,259,708 = 14,259,708 : x
  2. Step 2: Convert to fraction form
    6,509,802/14,259,708 = 14,259,708/x
  3. Step 3: Cross multiply
    6,509,802x = 14,259,708 × 14,259,708
  4. Step 4: Simplify right side
    6,509,802x = 203,339,272,245,264
  5. Step 5: Solve for x
    x = 203,339,272,245,264/6,509,802
  6. Step 6: Final answer
    x = 31,235,861.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.