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Finding the Third Proportional to 18,014,730 and 27,883,774

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Solution

The third proportional to 18,014,730 and 27,883,774 is: 43,159,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014,730 : 27,883,774 = 27,883,774 : x
  2. Step 2: Convert to fraction form
    18,014,730/27,883,774 = 27,883,774/x
  3. Step 3: Cross multiply
    18,014,730x = 27,883,774 × 27,883,774
  4. Step 4: Simplify right side
    18,014,730x = 777,504,852,483,076
  5. Step 5: Solve for x
    x = 777,504,852,483,076/18,014,730
  6. Step 6: Final answer
    x = 43,159,395.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.