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Finding the Third Proportional to 1,250,250,152 and 2,722,676,176

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Solution

The third proportional to 1,250,250,152 and 2,722,676,176 is: 5,929,185,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250,250,152 : 2,722,676,176 = 2,722,676,176 : x
  2. Step 2: Convert to fraction form
    1,250,250,152/2,722,676,176 = 2,722,676,176/x
  3. Step 3: Cross multiply
    1,250,250,152x = 2,722,676,176 × 2,722,676,176
  4. Step 4: Simplify right side
    1,250,250,152x = 7,412,965,559,357,982,720
  5. Step 5: Solve for x
    x = 7,412,965,559,357,982,720/1,250,250,152
  6. Step 6: Final answer
    x = 5,929,185,889.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.