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Finding the Third Proportional to 1,054,054,512 and 2,289,558,576

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Solution

The third proportional to 1,054,054,512 and 2,289,558,576 is: 4,973,251,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,054,512 : 2,289,558,576 = 2,289,558,576 : x
  2. Step 2: Convert to fraction form
    1,054,054,512/2,289,558,576 = 2,289,558,576/x
  3. Step 3: Cross multiply
    1,054,054,512x = 2,289,558,576 × 2,289,558,576
  4. Step 4: Simplify right side
    1,054,054,512x = 5,242,078,472,935,147,520
  5. Step 5: Solve for x
    x = 5,242,078,472,935,147,520/1,054,054,512
  6. Step 6: Final answer
    x = 4,973,251,775.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.