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Finding the Third Proportional to 566,239,512 and 1,230,492,819.75

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Solution

The third proportional to 566,239,512 and 1,230,492,819.75 is: 2,673,979,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,239,512 : 1,230,492,819.75 = 1,230,492,819.75 : x
  2. Step 2: Convert to fraction form
    566,239,512/1,230,492,819.75 = 1,230,492,819.75/x
  3. Step 3: Cross multiply
    566,239,512x = 1,230,492,819.75 × 1,230,492,819.75
  4. Step 4: Simplify right side
    566,239,512x = 1,514,112,579,456,305,920
  5. Step 5: Solve for x
    x = 1,514,112,579,456,305,920/566,239,512
  6. Step 6: Final answer
    x = 2,673,979,027.19

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