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Finding the Third Proportional to 19,348,500 and 27,969,694.50

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Solution

The third proportional to 19,348,500 and 27,969,694.50 is: 40,432,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,348,500 : 27,969,694.50 = 27,969,694.50 : x
  2. Step 2: Convert to fraction form
    19,348,500/27,969,694.50 = 27,969,694.50/x
  3. Step 3: Cross multiply
    19,348,500x = 27,969,694.50 × 27,969,694.50
  4. Step 4: Simplify right side
    19,348,500x = 782,303,810,423,330.25
  5. Step 5: Solve for x
    x = 782,303,810,423,330.25/19,348,500
  6. Step 6: Final answer
    x = 40,432,271.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.