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Finding the Third Proportional to 11,014,098.19 and 22,933,330.88

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Solution

The third proportional to 11,014,098.19 and 22,933,330.88 is: 47,751,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014,098.19 : 22,933,330.88 = 22,933,330.88 : x
  2. Step 2: Convert to fraction form
    11,014,098.19/22,933,330.88 = 22,933,330.88/x
  3. Step 3: Cross multiply
    11,014,098.19x = 22,933,330.88 × 22,933,330.88
  4. Step 4: Simplify right side
    11,014,098.19x = 525,937,665,022,228.25
  5. Step 5: Solve for x
    x = 525,937,665,022,228.25/11,014,098.19
  6. Step 6: Final answer
    x = 47,751,314.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.