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Finding the Third Proportional to 14,542,214 and 22,548,235

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Solution

The third proportional to 14,542,214 and 22,548,235 is: 34,961,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542,214 : 22,548,235 = 22,548,235 : x
  2. Step 2: Convert to fraction form
    14,542,214/22,548,235 = 22,548,235/x
  3. Step 3: Cross multiply
    14,542,214x = 22,548,235 × 22,548,235
  4. Step 4: Simplify right side
    14,542,214x = 508,422,901,615,225
  5. Step 5: Solve for x
    x = 508,422,901,615,225/14,542,214
  6. Step 6: Final answer
    x = 34,961,863.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.