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Finding the Third Proportional to 831,714,175,392 and 1,822,873,407,680

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Solution

The third proportional to 831,714,175,392 and 1,822,873,407,680 is: 3,995,203,591,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,714,175,392 : 1,822,873,407,680 = 1,822,873,407,680 : x
  2. Step 2: Convert to fraction form
    831,714,175,392/1,822,873,407,680 = 1,822,873,407,680/x
  3. Step 3: Cross multiply
    831,714,175,392x = 1,822,873,407,680 × 1,822,873,407,680
  4. Step 4: Simplify right side
    831,714,175,392x = 3,322,867,460,426,895,512,829,952
  5. Step 5: Solve for x
    x = 3,322,867,460,426,895,512,829,952/831,714,175,392
  6. Step 6: Final answer
    x = 3,995,203,591,258.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.