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Finding the Third Proportional to 9,256,011.50 and 19,934,416

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Solution

The third proportional to 9,256,011.50 and 19,934,416 is: 42,932,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256,011.50 : 19,934,416 = 19,934,416 : x
  2. Step 2: Convert to fraction form
    9,256,011.50/19,934,416 = 19,934,416/x
  3. Step 3: Cross multiply
    9,256,011.50x = 19,934,416 × 19,934,416
  4. Step 4: Simplify right side
    9,256,011.50x = 397,380,941,261,056
  5. Step 5: Solve for x
    x = 397,380,941,261,056/9,256,011.50
  6. Step 6: Final answer
    x = 42,932,200.47

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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.