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Finding the Third Proportional to 4,638,896 and 9,596,000

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Solution

The third proportional to 4,638,896 and 9,596,000 is: 19,850,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,896 : 9,596,000 = 9,596,000 : x
  2. Step 2: Convert to fraction form
    4,638,896/9,596,000 = 9,596,000/x
  3. Step 3: Cross multiply
    4,638,896x = 9,596,000 × 9,596,000
  4. Step 4: Simplify right side
    4,638,896x = 92,083,216,000,000
  5. Step 5: Solve for x
    x = 92,083,216,000,000/4,638,896
  6. Step 6: Final answer
    x = 19,850,243.68

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