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Finding the Third Proportional to 959,699,415,014 and 1,998,832,586,407

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Solution

The third proportional to 959,699,415,014 and 1,998,832,586,407 is: 4,163,107,370,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,699,415,014 : 1,998,832,586,407 = 1,998,832,586,407 : x
  2. Step 2: Convert to fraction form
    959,699,415,014/1,998,832,586,407 = 1,998,832,586,407/x
  3. Step 3: Cross multiply
    959,699,415,014x = 1,998,832,586,407 × 1,998,832,586,407
  4. Step 4: Simplify right side
    959,699,415,014x = 3,995,331,708,482,496,925,532,160
  5. Step 5: Solve for x
    x = 3,995,331,708,482,496,925,532,160/959,699,415,014
  6. Step 6: Final answer
    x = 4,163,107,370,888.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.