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Finding the Third Proportional to 7,744,908 and 16,833,120

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Solution

The third proportional to 7,744,908 and 16,833,120 is: 36,585,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744,908 : 16,833,120 = 16,833,120 : x
  2. Step 2: Convert to fraction form
    7,744,908/16,833,120 = 16,833,120/x
  3. Step 3: Cross multiply
    7,744,908x = 16,833,120 × 16,833,120
  4. Step 4: Simplify right side
    7,744,908x = 283,353,928,934,400
  5. Step 5: Solve for x
    x = 283,353,928,934,400/7,744,908
  6. Step 6: Final answer
    x = 36,585,835.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.