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Finding the Third Proportional to 7,698,847.50 and 11,916,826.31

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Solution

The third proportional to 7,698,847.50 and 11,916,826.31 is: 18,445,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698,847.50 : 11,916,826.31 = 11,916,826.31 : x
  2. Step 2: Convert to fraction form
    7,698,847.50/11,916,826.31 = 11,916,826.31/x
  3. Step 3: Cross multiply
    7,698,847.50x = 11,916,826.31 × 11,916,826.31
  4. Step 4: Simplify right side
    7,698,847.50x = 142,010,749,362,292.34
  5. Step 5: Solve for x
    x = 142,010,749,362,292.34/7,698,847.50
  6. Step 6: Final answer
    x = 18,445,715.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.