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Finding the Third Proportional to 229,853,734,338 and 537,042,037,548

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Solution

The third proportional to 229,853,734,338 and 537,042,037,548 is: 1,254,772,522,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,853,734,338 : 537,042,037,548 = 537,042,037,548 : x
  2. Step 2: Convert to fraction form
    229,853,734,338/537,042,037,548 = 537,042,037,548/x
  3. Step 3: Cross multiply
    229,853,734,338x = 537,042,037,548 × 537,042,037,548
  4. Step 4: Simplify right side
    229,853,734,338x = 288,414,150,093,707,428,233,216
  5. Step 5: Solve for x
    x = 288,414,150,093,707,428,233,216/229,853,734,338
  6. Step 6: Final answer
    x = 1,254,772,522,727.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.