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Finding the Third Proportional to 4,378,946 and 6,973,150

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Solution

The third proportional to 4,378,946 and 6,973,150 is: 11,104,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378,946 : 6,973,150 = 6,973,150 : x
  2. Step 2: Convert to fraction form
    4,378,946/6,973,150 = 6,973,150/x
  3. Step 3: Cross multiply
    4,378,946x = 6,973,150 × 6,973,150
  4. Step 4: Simplify right side
    4,378,946x = 48,624,820,922,500
  5. Step 5: Solve for x
    x = 48,624,820,922,500/4,378,946
  6. Step 6: Final answer
    x = 11,104,229.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.