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Finding the Third Proportional to 14,886,198 and 32,053,221

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Solution

The third proportional to 14,886,198 and 32,053,221 is: 69,017,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886,198 : 32,053,221 = 32,053,221 : x
  2. Step 2: Convert to fraction form
    14,886,198/32,053,221 = 32,053,221/x
  3. Step 3: Cross multiply
    14,886,198x = 32,053,221 × 32,053,221
  4. Step 4: Simplify right side
    14,886,198x = 1,027,408,976,474,841
  5. Step 5: Solve for x
    x = 1,027,408,976,474,841/14,886,198
  6. Step 6: Final answer
    x = 69,017,554.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.