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Finding the Third Proportional to 6,724,614.94 and 14,428,869.19

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Solution

The third proportional to 6,724,614.94 and 14,428,869.19 is: 30,959,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,614.94 : 14,428,869.19 = 14,428,869.19 : x
  2. Step 2: Convert to fraction form
    6,724,614.94/14,428,869.19 = 14,428,869.19/x
  3. Step 3: Cross multiply
    6,724,614.94x = 14,428,869.19 × 14,428,869.19
  4. Step 4: Simplify right side
    6,724,614.94x = 208,192,266,029,986.91
  5. Step 5: Solve for x
    x = 208,192,266,029,986.91/6,724,614.94
  6. Step 6: Final answer
    x = 30,959,730.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.