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Finding the Third Proportional to 842,180,634 and 1,878,005,889

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Solution

The third proportional to 842,180,634 and 1,878,005,889 is: 4,187,826,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,180,634 : 1,878,005,889 = 1,878,005,889 : x
  2. Step 2: Convert to fraction form
    842,180,634/1,878,005,889 = 1,878,005,889/x
  3. Step 3: Cross multiply
    842,180,634x = 1,878,005,889 × 1,878,005,889
  4. Step 4: Simplify right side
    842,180,634x = 3,526,906,119,118,680,576
  5. Step 5: Solve for x
    x = 3,526,906,119,118,680,576/842,180,634
  6. Step 6: Final answer
    x = 4,187,826,193.97

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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.