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Finding the Third Proportional to 22,321,150 and 47,830,937

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Solution

The third proportional to 22,321,150 and 47,830,937 is: 102,494,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321,150 : 47,830,937 = 47,830,937 : x
  2. Step 2: Convert to fraction form
    22,321,150/47,830,937 = 47,830,937/x
  3. Step 3: Cross multiply
    22,321,150x = 47,830,937 × 47,830,937
  4. Step 4: Simplify right side
    22,321,150x = 2,287,798,534,297,969
  5. Step 5: Solve for x
    x = 2,287,798,534,297,969/22,321,150
  6. Step 6: Final answer
    x = 102,494,653.47

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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.