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Finding the Third Proportional to 14,193,934 and 21,267,202

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Solution

The third proportional to 14,193,934 and 21,267,202 is: 31,865,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193,934 : 21,267,202 = 21,267,202 : x
  2. Step 2: Convert to fraction form
    14,193,934/21,267,202 = 21,267,202/x
  3. Step 3: Cross multiply
    14,193,934x = 21,267,202 × 21,267,202
  4. Step 4: Simplify right side
    14,193,934x = 452,293,880,908,804
  5. Step 5: Solve for x
    x = 452,293,880,908,804/14,193,934
  6. Step 6: Final answer
    x = 31,865,294.07

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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.