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Finding the Third Proportional to 7,670,713.50 and 12,783,004.88

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Solution

The third proportional to 7,670,713.50 and 12,783,004.88 is: 21,302,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,713.50 : 12,783,004.88 = 12,783,004.88 : x
  2. Step 2: Convert to fraction form
    7,670,713.50/12,783,004.88 = 12,783,004.88/x
  3. Step 3: Cross multiply
    7,670,713.50x = 12,783,004.88 × 12,783,004.88
  4. Step 4: Simplify right side
    7,670,713.50x = 163,405,213,634,273.75
  5. Step 5: Solve for x
    x = 163,405,213,634,273.75/7,670,713.50
  6. Step 6: Final answer
    x = 21,302,479.05

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.