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Finding the Third Proportional to 18,909,728 and 45,590,384

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Solution

The third proportional to 18,909,728 and 45,590,384 is: 109,916,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,909,728 : 45,590,384 = 45,590,384 : x
  2. Step 2: Convert to fraction form
    18,909,728/45,590,384 = 45,590,384/x
  3. Step 3: Cross multiply
    18,909,728x = 45,590,384 × 45,590,384
  4. Step 4: Simplify right side
    18,909,728x = 2,078,483,113,267,456
  5. Step 5: Solve for x
    x = 2,078,483,113,267,456/18,909,728
  6. Step 6: Final answer
    x = 109,916,076.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.