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Finding the Third Proportional to 36,526,724 and 54,838,131

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Solution

The third proportional to 36,526,724 and 54,838,131 is: 82,329,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,526,724 : 54,838,131 = 54,838,131 : x
  2. Step 2: Convert to fraction form
    36,526,724/54,838,131 = 54,838,131/x
  3. Step 3: Cross multiply
    36,526,724x = 54,838,131 × 54,838,131
  4. Step 4: Simplify right side
    36,526,724x = 3,007,220,611,573,161
  5. Step 5: Solve for x
    x = 3,007,220,611,573,161/36,526,724
  6. Step 6: Final answer
    x = 82,329,327.20

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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.