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Finding the Third Proportional to 8,228,070 and 12,334,233

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Solution

The third proportional to 8,228,070 and 12,334,233 is: 18,489,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228,070 : 12,334,233 = 12,334,233 : x
  2. Step 2: Convert to fraction form
    8,228,070/12,334,233 = 12,334,233/x
  3. Step 3: Cross multiply
    8,228,070x = 12,334,233 × 12,334,233
  4. Step 4: Simplify right side
    8,228,070x = 152,133,303,698,289
  5. Step 5: Solve for x
    x = 152,133,303,698,289/8,228,070
  6. Step 6: Final answer
    x = 18,489,549.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.