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Finding the Third Proportional to 842,177,169 and 1,877,997,879

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Solution

The third proportional to 842,177,169 and 1,877,997,879 is: 4,187,807,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,177,169 : 1,877,997,879 = 1,877,997,879 : x
  2. Step 2: Convert to fraction form
    842,177,169/1,877,997,879 = 1,877,997,879/x
  3. Step 3: Cross multiply
    842,177,169x = 1,877,997,879 × 1,877,997,879
  4. Step 4: Simplify right side
    842,177,169x = 3,526,876,033,528,498,688
  5. Step 5: Solve for x
    x = 3,526,876,033,528,498,688/842,177,169
  6. Step 6: Final answer
    x = 4,187,807,700.51

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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.