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Finding the Third Proportional to 553,824,690 and 1,181,777,124

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Solution

The third proportional to 553,824,690 and 1,181,777,124 is: 2,521,731,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,824,690 : 1,181,777,124 = 1,181,777,124 : x
  2. Step 2: Convert to fraction form
    553,824,690/1,181,777,124 = 1,181,777,124/x
  3. Step 3: Cross multiply
    553,824,690x = 1,181,777,124 × 1,181,777,124
  4. Step 4: Simplify right side
    553,824,690x = 1,396,597,170,809,711,360
  5. Step 5: Solve for x
    x = 1,396,597,170,809,711,360/553,824,690
  6. Step 6: Final answer
    x = 2,521,731,508.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.