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Finding the Third Proportional to 1,759,369,404 and 2,581,539,876

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Solution

The third proportional to 1,759,369,404 and 2,581,539,876 is: 3,787,918,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759,369,404 : 2,581,539,876 = 2,581,539,876 : x
  2. Step 2: Convert to fraction form
    1,759,369,404/2,581,539,876 = 2,581,539,876/x
  3. Step 3: Cross multiply
    1,759,369,404x = 2,581,539,876 × 2,581,539,876
  4. Step 4: Simplify right side
    1,759,369,404x = 6,664,348,131,378,095,104
  5. Step 5: Solve for x
    x = 6,664,348,131,378,095,104/1,759,369,404
  6. Step 6: Final answer
    x = 3,787,918,623.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.