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Finding the Third Proportional to 21,900,759.75 and 50,698,841.63

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Solution

The third proportional to 21,900,759.75 and 50,698,841.63 is: 117,364,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900,759.75 : 50,698,841.63 = 50,698,841.63 : x
  2. Step 2: Convert to fraction form
    21,900,759.75/50,698,841.63 = 50,698,841.63/x
  3. Step 3: Cross multiply
    21,900,759.75x = 50,698,841.63 × 50,698,841.63
  4. Step 4: Simplify right side
    21,900,759.75x = 2,570,372,542,116,832.50
  5. Step 5: Solve for x
    x = 2,570,372,542,116,832.50/21,900,759.75
  6. Step 6: Final answer
    x = 117,364,537.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.