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Finding the Third Proportional to 16,546,069,692 and 24,760,481,247

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Solution

The third proportional to 16,546,069,692 and 24,760,481,247 is: 37,052,994,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546,069,692 : 24,760,481,247 = 24,760,481,247 : x
  2. Step 2: Convert to fraction form
    16,546,069,692/24,760,481,247 = 24,760,481,247/x
  3. Step 3: Cross multiply
    16,546,069,692x = 24,760,481,247 × 24,760,481,247
  4. Step 4: Simplify right side
    16,546,069,692x = 613,081,431,583,038,636,032
  5. Step 5: Solve for x
    x = 613,081,431,583,038,636,032/16,546,069,692
  6. Step 6: Final answer
    x = 37,052,994,638.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.