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Finding the Third Proportional to 851,241,339 and 1,198,213,026.75

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Solution

The third proportional to 851,241,339 and 1,198,213,026.75 is: 1,686,612,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,241,339 : 1,198,213,026.75 = 1,198,213,026.75 : x
  2. Step 2: Convert to fraction form
    851,241,339/1,198,213,026.75 = 1,198,213,026.75/x
  3. Step 3: Cross multiply
    851,241,339x = 1,198,213,026.75 × 1,198,213,026.75
  4. Step 4: Simplify right side
    851,241,339x = 1,435,714,457,473,396,224
  5. Step 5: Solve for x
    x = 1,435,714,457,473,396,224/851,241,339
  6. Step 6: Final answer
    x = 1,686,612,705.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.