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Finding the Third Proportional to 566,306,212 and 1,334,941,195

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Solution

The third proportional to 566,306,212 and 1,334,941,195 is: 3,146,827,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,306,212 : 1,334,941,195 = 1,334,941,195 : x
  2. Step 2: Convert to fraction form
    566,306,212/1,334,941,195 = 1,334,941,195/x
  3. Step 3: Cross multiply
    566,306,212x = 1,334,941,195 × 1,334,941,195
  4. Step 4: Simplify right side
    566,306,212x = 1,782,067,994,108,027,904
  5. Step 5: Solve for x
    x = 1,782,067,994,108,027,904/566,306,212
  6. Step 6: Final answer
    x = 3,146,827,557.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.