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Finding the Third Proportional to 950,639,142 and 2,041,844,532

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Solution

The third proportional to 950,639,142 and 2,041,844,532 is: 4,385,606,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,639,142 : 2,041,844,532 = 2,041,844,532 : x
  2. Step 2: Convert to fraction form
    950,639,142/2,041,844,532 = 2,041,844,532/x
  3. Step 3: Cross multiply
    950,639,142x = 2,041,844,532 × 2,041,844,532
  4. Step 4: Simplify right side
    950,639,142x = 4,169,129,092,858,298,880
  5. Step 5: Solve for x
    x = 4,169,129,092,858,298,880/950,639,142
  6. Step 6: Final answer
    x = 4,385,606,386.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.