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Finding the Third Proportional to 20,909,454.75 and 45,293,414.63

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Solution

The third proportional to 20,909,454.75 and 45,293,414.63 is: 98,113,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909,454.75 : 45,293,414.63 = 45,293,414.63 : x
  2. Step 2: Convert to fraction form
    20,909,454.75/45,293,414.63 = 45,293,414.63/x
  3. Step 3: Cross multiply
    20,909,454.75x = 45,293,414.63 × 45,293,414.63
  4. Step 4: Simplify right side
    20,909,454.75x = 2,051,493,408,392,164
  5. Step 5: Solve for x
    x = 2,051,493,408,392,164/20,909,454.75
  6. Step 6: Final answer
    x = 98,113,194.86

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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.