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Finding the Third Proportional to 19,913,666 and 30,754,869

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Solution

The third proportional to 19,913,666 and 30,754,869 is: 47,498,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913,666 : 30,754,869 = 30,754,869 : x
  2. Step 2: Convert to fraction form
    19,913,666/30,754,869 = 30,754,869/x
  3. Step 3: Cross multiply
    19,913,666x = 30,754,869 × 30,754,869
  4. Step 4: Simplify right side
    19,913,666x = 945,861,967,207,161
  5. Step 5: Solve for x
    x = 945,861,967,207,161/19,913,666
  6. Step 6: Final answer
    x = 47,498,133.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.