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Finding the Third Proportional to 748,659,218 and 1,163,815,516

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Solution

The third proportional to 748,659,218 and 1,163,815,516 is: 1,809,189,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,659,218 : 1,163,815,516 = 1,163,815,516 : x
  2. Step 2: Convert to fraction form
    748,659,218/1,163,815,516 = 1,163,815,516/x
  3. Step 3: Cross multiply
    748,659,218x = 1,163,815,516 × 1,163,815,516
  4. Step 4: Simplify right side
    748,659,218x = 1,354,466,555,282,346,240
  5. Step 5: Solve for x
    x = 1,354,466,555,282,346,240/748,659,218
  6. Step 6: Final answer
    x = 1,809,189,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.