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Finding the Third Proportional to 50,439,213 and 82,362,685

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Solution

The third proportional to 50,439,213 and 82,362,685 is: 134,490,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,439,213 : 82,362,685 = 82,362,685 : x
  2. Step 2: Convert to fraction form
    50,439,213/82,362,685 = 82,362,685/x
  3. Step 3: Cross multiply
    50,439,213x = 82,362,685 × 82,362,685
  4. Step 4: Simplify right side
    50,439,213x = 6,783,611,880,409,225
  5. Step 5: Solve for x
    x = 6,783,611,880,409,225/50,439,213
  6. Step 6: Final answer
    x = 134,490,835.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.