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Finding the Third Proportional to 842,180,637 and 1,878,005,895

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Solution

The third proportional to 842,180,637 and 1,878,005,895 is: 4,187,826,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,180,637 : 1,878,005,895 = 1,878,005,895 : x
  2. Step 2: Convert to fraction form
    842,180,637/1,878,005,895 = 1,878,005,895/x
  3. Step 3: Cross multiply
    842,180,637x = 1,878,005,895 × 1,878,005,895
  4. Step 4: Simplify right side
    842,180,637x = 3,526,906,141,654,751,232
  5. Step 5: Solve for x
    x = 3,526,906,141,654,751,232/842,180,637
  6. Step 6: Final answer
    x = 4,187,826,205.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.