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Finding the Third Proportional to 2,632,081.50 and 5,655,877.50

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Solution

The third proportional to 2,632,081.50 and 5,655,877.50 is: 12,153,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632,081.50 : 5,655,877.50 = 5,655,877.50 : x
  2. Step 2: Convert to fraction form
    2,632,081.50/5,655,877.50 = 5,655,877.50/x
  3. Step 3: Cross multiply
    2,632,081.50x = 5,655,877.50 × 5,655,877.50
  4. Step 4: Simplify right side
    2,632,081.50x = 31,988,950,295,006.25
  5. Step 5: Solve for x
    x = 31,988,950,295,006.25/2,632,081.50
  6. Step 6: Final answer
    x = 12,153,480.16

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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.