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Finding the Third Proportional to 872,694,184 and 1,881,398,384

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Solution

The third proportional to 872,694,184 and 1,881,398,384 is: 4,056,014,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,694,184 : 1,881,398,384 = 1,881,398,384 : x
  2. Step 2: Convert to fraction form
    872,694,184/1,881,398,384 = 1,881,398,384/x
  3. Step 3: Cross multiply
    872,694,184x = 1,881,398,384 × 1,881,398,384
  4. Step 4: Simplify right side
    872,694,184x = 3,539,659,879,317,811,200
  5. Step 5: Solve for x
    x = 3,539,659,879,317,811,200/872,694,184
  6. Step 6: Final answer
    x = 4,056,014,058.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.