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Finding the Third Proportional to 9,256,014 and 19,934,420.50

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Solution

The third proportional to 9,256,014 and 19,934,420.50 is: 42,932,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256,014 : 19,934,420.50 = 19,934,420.50 : x
  2. Step 2: Convert to fraction form
    9,256,014/19,934,420.50 = 19,934,420.50/x
  3. Step 3: Cross multiply
    9,256,014x = 19,934,420.50 × 19,934,420.50
  4. Step 4: Simplify right side
    9,256,014x = 397,381,120,670,820.25
  5. Step 5: Solve for x
    x = 397,381,120,670,820.25/9,256,014
  6. Step 6: Final answer
    x = 42,932,208.26

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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.