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Finding the Third Proportional to 777,121,982 and 1,268,835,915

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Solution

The third proportional to 777,121,982 and 1,268,835,915 is: 2,071,675,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,121,982 : 1,268,835,915 = 1,268,835,915 : x
  2. Step 2: Convert to fraction form
    777,121,982/1,268,835,915 = 1,268,835,915/x
  3. Step 3: Cross multiply
    777,121,982x = 1,268,835,915 × 1,268,835,915
  4. Step 4: Simplify right side
    777,121,982x = 1,609,944,579,193,887,232
  5. Step 5: Solve for x
    x = 1,609,944,579,193,887,232/777,121,982
  6. Step 6: Final answer
    x = 2,071,675,511.03

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.