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Finding the Third Proportional to 842,177,692 and 1,877,998,926

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Solution

The third proportional to 842,177,692 and 1,877,998,926 is: 4,187,809,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,177,692 : 1,877,998,926 = 1,877,998,926 : x
  2. Step 2: Convert to fraction form
    842,177,692/1,877,998,926 = 1,877,998,926/x
  3. Step 3: Cross multiply
    842,177,692x = 1,877,998,926 × 1,877,998,926
  4. Step 4: Simplify right side
    842,177,692x = 3,526,879,966,057,153,536
  5. Step 5: Solve for x
    x = 3,526,879,966,057,153,536/842,177,692
  6. Step 6: Final answer
    x = 4,187,809,769.32

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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.