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Finding the Third Proportional to 18,966,574 and 27,102,823

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Solution

The third proportional to 18,966,574 and 27,102,823 is: 38,729,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,966,574 : 27,102,823 = 27,102,823 : x
  2. Step 2: Convert to fraction form
    18,966,574/27,102,823 = 27,102,823/x
  3. Step 3: Cross multiply
    18,966,574x = 27,102,823 × 27,102,823
  4. Step 4: Simplify right side
    18,966,574x = 734,563,014,569,329
  5. Step 5: Solve for x
    x = 734,563,014,569,329/18,966,574
  6. Step 6: Final answer
    x = 38,729,346.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.