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Finding the Third Proportional to 535,943,200 and 1,160,922,176

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Solution

The third proportional to 535,943,200 and 1,160,922,176 is: 2,514,707,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,943,200 : 1,160,922,176 = 1,160,922,176 : x
  2. Step 2: Convert to fraction form
    535,943,200/1,160,922,176 = 1,160,922,176/x
  3. Step 3: Cross multiply
    535,943,200x = 1,160,922,176 × 1,160,922,176
  4. Step 4: Simplify right side
    535,943,200x = 1,347,740,298,728,574,976
  5. Step 5: Solve for x
    x = 1,347,740,298,728,574,976/535,943,200
  6. Step 6: Final answer
    x = 2,514,707,339.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.