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Finding the Third Proportional to 959,699,415,012 and 1,998,832,586,403

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Solution

The third proportional to 959,699,415,012 and 1,998,832,586,403 is: 4,163,107,370,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,699,415,012 : 1,998,832,586,403 = 1,998,832,586,403 : x
  2. Step 2: Convert to fraction form
    959,699,415,012/1,998,832,586,403 = 1,998,832,586,403/x
  3. Step 3: Cross multiply
    959,699,415,012x = 1,998,832,586,403 × 1,998,832,586,403
  4. Step 4: Simplify right side
    959,699,415,012x = 3,995,331,708,466,506,225,418,240
  5. Step 5: Solve for x
    x = 3,995,331,708,466,506,225,418,240/959,699,415,012
  6. Step 6: Final answer
    x = 4,163,107,370,880.86

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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.