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Finding the Third Proportional to 6,789,150 and 14,641,182

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Solution

The third proportional to 6,789,150 and 14,641,182 is: 31,574,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789,150 : 14,641,182 = 14,641,182 : x
  2. Step 2: Convert to fraction form
    6,789,150/14,641,182 = 14,641,182/x
  3. Step 3: Cross multiply
    6,789,150x = 14,641,182 × 14,641,182
  4. Step 4: Simplify right side
    6,789,150x = 214,364,210,357,124
  5. Step 5: Solve for x
    x = 214,364,210,357,124/6,789,150
  6. Step 6: Final answer
    x = 31,574,528.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.