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Finding the Third Proportional to 1,180,192,323 and 2,573,971,923

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Solution

The third proportional to 1,180,192,323 and 2,573,971,923 is: 5,613,772,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,192,323 : 2,573,971,923 = 2,573,971,923 : x
  2. Step 2: Convert to fraction form
    1,180,192,323/2,573,971,923 = 2,573,971,923/x
  3. Step 3: Cross multiply
    1,180,192,323x = 2,573,971,923 × 2,573,971,923
  4. Step 4: Simplify right side
    1,180,192,323x = 6,625,331,460,392,317,952
  5. Step 5: Solve for x
    x = 6,625,331,460,392,317,952/1,180,192,323
  6. Step 6: Final answer
    x = 5,613,772,714.22

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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.