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Finding the Third Proportional to 6,738,116 and 14,656,822

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Solution

The third proportional to 6,738,116 and 14,656,822 is: 31,881,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,116 : 14,656,822 = 14,656,822 : x
  2. Step 2: Convert to fraction form
    6,738,116/14,656,822 = 14,656,822/x
  3. Step 3: Cross multiply
    6,738,116x = 14,656,822 × 14,656,822
  4. Step 4: Simplify right side
    6,738,116x = 214,822,431,139,684
  5. Step 5: Solve for x
    x = 214,822,431,139,684/6,738,116
  6. Step 6: Final answer
    x = 31,881,676.00

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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.