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Finding the Third Proportional to 22,321,146.38 and 47,830,928.63

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Solution

The third proportional to 22,321,146.38 and 47,830,928.63 is: 102,494,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321,146.38 : 47,830,928.63 = 47,830,928.63 : x
  2. Step 2: Convert to fraction form
    22,321,146.38/47,830,928.63 = 47,830,928.63/x
  3. Step 3: Cross multiply
    22,321,146.38x = 47,830,928.63 × 47,830,928.63
  4. Step 4: Simplify right side
    22,321,146.38x = 2,287,797,733,129,844.50
  5. Step 5: Solve for x
    x = 2,287,797,733,129,844.50/22,321,146.38
  6. Step 6: Final answer
    x = 102,494,634.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.