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Finding the Third Proportional to 4,650,048 and 10,033,920

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Solution

The third proportional to 4,650,048 and 10,033,920 is: 21,651,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650,048 : 10,033,920 = 10,033,920 : x
  2. Step 2: Convert to fraction form
    4,650,048/10,033,920 = 10,033,920/x
  3. Step 3: Cross multiply
    4,650,048x = 10,033,920 × 10,033,920
  4. Step 4: Simplify right side
    4,650,048x = 100,679,550,566,400
  5. Step 5: Solve for x
    x = 100,679,550,566,400/4,650,048
  6. Step 6: Final answer
    x = 21,651,292.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.