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Finding the Third Proportional to 986,151,690.38 and 2,169,530,269.63

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Solution

The third proportional to 986,151,690.38 and 2,169,530,269.63 is: 4,772,959,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,151,690.38 : 2,169,530,269.63 = 2,169,530,269.63 : x
  2. Step 2: Convert to fraction form
    986,151,690.38/2,169,530,269.63 = 2,169,530,269.63/x
  3. Step 3: Cross multiply
    986,151,690.38x = 2,169,530,269.63 × 2,169,530,269.63
  4. Step 4: Simplify right side
    986,151,690.38x = 4,706,861,590,819,125,248
  5. Step 5: Solve for x
    x = 4,706,861,590,819,125,248/986,151,690.38
  6. Step 6: Final answer
    x = 4,772,959,004.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.