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Finding the Third Proportional to 3,879,306 and 8,430,102

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Solution

The third proportional to 3,879,306 and 8,430,102 is: 18,319,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,306 : 8,430,102 = 8,430,102 : x
  2. Step 2: Convert to fraction form
    3,879,306/8,430,102 = 8,430,102/x
  3. Step 3: Cross multiply
    3,879,306x = 8,430,102 × 8,430,102
  4. Step 4: Simplify right side
    3,879,306x = 71,066,619,730,404
  5. Step 5: Solve for x
    x = 71,066,619,730,404/3,879,306
  6. Step 6: Final answer
    x = 18,319,415.83

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