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Finding the Third Proportional to 3,742,620 and 8,120,480

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Solution

The third proportional to 3,742,620 and 8,120,480 is: 17,619,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,620 : 8,120,480 = 8,120,480 : x
  2. Step 2: Convert to fraction form
    3,742,620/8,120,480 = 8,120,480/x
  3. Step 3: Cross multiply
    3,742,620x = 8,120,480 × 8,120,480
  4. Step 4: Simplify right side
    3,742,620x = 65,942,195,430,400
  5. Step 5: Solve for x
    x = 65,942,195,430,400/3,742,620
  6. Step 6: Final answer
    x = 17,619,260.15

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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.