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Finding the Third Proportional to 13,912,314 and 19,224,186

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Solution

The third proportional to 13,912,314 and 19,224,186 is: 26,564,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912,314 : 19,224,186 = 19,224,186 : x
  2. Step 2: Convert to fraction form
    13,912,314/19,224,186 = 19,224,186/x
  3. Step 3: Cross multiply
    13,912,314x = 19,224,186 × 19,224,186
  4. Step 4: Simplify right side
    13,912,314x = 369,569,327,362,596
  5. Step 5: Solve for x
    x = 369,569,327,362,596/13,912,314
  6. Step 6: Final answer
    x = 26,564,188.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.