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Finding the Third Proportional to 558,560,160 and 1,175,005,836

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Solution

The third proportional to 558,560,160 and 1,175,005,836 is: 2,471,781,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,560,160 : 1,175,005,836 = 1,175,005,836 : x
  2. Step 2: Convert to fraction form
    558,560,160/1,175,005,836 = 1,175,005,836/x
  3. Step 3: Cross multiply
    558,560,160x = 1,175,005,836 × 1,175,005,836
  4. Step 4: Simplify right side
    558,560,160x = 1,380,638,714,634,059,008
  5. Step 5: Solve for x
    x = 1,380,638,714,634,059,008/558,560,160
  6. Step 6: Final answer
    x = 2,471,781,579.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.