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Finding the Third Proportional to 13,965,310 and 21,674,171

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Solution

The third proportional to 13,965,310 and 21,674,171 is: 33,638,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965,310 : 21,674,171 = 21,674,171 : x
  2. Step 2: Convert to fraction form
    13,965,310/21,674,171 = 21,674,171/x
  3. Step 3: Cross multiply
    13,965,310x = 21,674,171 × 21,674,171
  4. Step 4: Simplify right side
    13,965,310x = 469,769,688,537,241
  5. Step 5: Solve for x
    x = 469,769,688,537,241/13,965,310
  6. Step 6: Final answer
    x = 33,638,328.73

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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.