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Finding the Third Proportional to 7,823,911.50 and 11,501,426.25

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Solution

The third proportional to 7,823,911.50 and 11,501,426.25 is: 16,907,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823,911.50 : 11,501,426.25 = 11,501,426.25 : x
  2. Step 2: Convert to fraction form
    7,823,911.50/11,501,426.25 = 11,501,426.25/x
  3. Step 3: Cross multiply
    7,823,911.50x = 11,501,426.25 × 11,501,426.25
  4. Step 4: Simplify right side
    7,823,911.50x = 132,282,805,784,189.06
  5. Step 5: Solve for x
    x = 132,282,805,784,189.06/7,823,911.50
  6. Step 6: Final answer
    x = 16,907,502.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.