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Finding the Third Proportional to 12,560,850,978.75 and 19,446,961,744.13

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Solution

The third proportional to 12,560,850,978.75 and 19,446,961,744.13 is: 30,108,176,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560,850,978.75 : 19,446,961,744.13 = 19,446,961,744.13 : x
  2. Step 2: Convert to fraction form
    12,560,850,978.75/19,446,961,744.13 = 19,446,961,744.13/x
  3. Step 3: Cross multiply
    12,560,850,978.75x = 19,446,961,744.13 × 19,446,961,744.13
  4. Step 4: Simplify right side
    12,560,850,978.75x = 378,184,321,077,461,254,144
  5. Step 5: Solve for x
    x = 378,184,321,077,461,254,144/12,560,850,978.75
  6. Step 6: Final answer
    x = 30,108,176,724.43

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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.