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Finding the Third Proportional to 8,104,468 and 12,833,214

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Solution

The third proportional to 8,104,468 and 12,833,214 is: 20,321,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104,468 : 12,833,214 = 12,833,214 : x
  2. Step 2: Convert to fraction form
    8,104,468/12,833,214 = 12,833,214/x
  3. Step 3: Cross multiply
    8,104,468x = 12,833,214 × 12,833,214
  4. Step 4: Simplify right side
    8,104,468x = 164,691,381,569,796
  5. Step 5: Solve for x
    x = 164,691,381,569,796/8,104,468
  6. Step 6: Final answer
    x = 20,321,060.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.