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Finding the Third Proportional to 7,783,703.86 and 17,033,483.67

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Solution

The third proportional to 7,783,703.86 and 17,033,483.67 is: 37,275,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783,703.86 : 17,033,483.67 = 17,033,483.67 : x
  2. Step 2: Convert to fraction form
    7,783,703.86/17,033,483.67 = 17,033,483.67/x
  3. Step 3: Cross multiply
    7,783,703.86x = 17,033,483.67 × 17,033,483.67
  4. Step 4: Simplify right side
    7,783,703.86x = 290,139,565,999,998.25
  5. Step 5: Solve for x
    x = 290,139,565,999,998.25/7,783,703.86
  6. Step 6: Final answer
    x = 37,275,257.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.