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Finding the Third Proportional to 410,858,012 and 836,064,886

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Solution

The third proportional to 410,858,012 and 836,064,886 is: 1,701,328,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,858,012 : 836,064,886 = 836,064,886 : x
  2. Step 2: Convert to fraction form
    410,858,012/836,064,886 = 836,064,886/x
  3. Step 3: Cross multiply
    410,858,012x = 836,064,886 × 836,064,886
  4. Step 4: Simplify right side
    410,858,012x = 699,004,493,602,193,024
  5. Step 5: Solve for x
    x = 699,004,493,602,193,024/410,858,012
  6. Step 6: Final answer
    x = 1,701,328,617.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.