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Finding the Third Proportional to 7,450,920 and 16,296,648

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Solution

The third proportional to 7,450,920 and 16,296,648 is: 35,644,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450,920 : 16,296,648 = 16,296,648 : x
  2. Step 2: Convert to fraction form
    7,450,920/16,296,648 = 16,296,648/x
  3. Step 3: Cross multiply
    7,450,920x = 16,296,648 × 16,296,648
  4. Step 4: Simplify right side
    7,450,920x = 265,580,736,035,904
  5. Step 5: Solve for x
    x = 265,580,736,035,904/7,450,920
  6. Step 6: Final answer
    x = 35,644,019.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.