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Finding the Third Proportional to 7,719,649.50 and 16,783,758

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Solution

The third proportional to 7,719,649.50 and 16,783,758 is: 36,490,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719,649.50 : 16,783,758 = 16,783,758 : x
  2. Step 2: Convert to fraction form
    7,719,649.50/16,783,758 = 16,783,758/x
  3. Step 3: Cross multiply
    7,719,649.50x = 16,783,758 × 16,783,758
  4. Step 4: Simplify right side
    7,719,649.50x = 281,694,532,602,564
  5. Step 5: Solve for x
    x = 281,694,532,602,564/7,719,649.50
  6. Step 6: Final answer
    x = 36,490,585.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.