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Finding the Third Proportional to 4,638,928.22 and 9,596,064.94

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Solution

The third proportional to 4,638,928.22 and 9,596,064.94 is: 19,850,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,928.22 : 9,596,064.94 = 9,596,064.94 : x
  2. Step 2: Convert to fraction form
    4,638,928.22/9,596,064.94 = 9,596,064.94/x
  3. Step 3: Cross multiply
    4,638,928.22x = 9,596,064.94 × 9,596,064.94
  4. Step 4: Simplify right side
    4,638,928.22x = 92,084,462,284,716.88
  5. Step 5: Solve for x
    x = 92,084,462,284,716.88/4,638,928.22
  6. Step 6: Final answer
    x = 19,850,374.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.