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Finding the Third Proportional to 808,214,400 and 1,745,760,240

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Solution

The third proportional to 808,214,400 and 1,745,760,240 is: 3,770,879,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,214,400 : 1,745,760,240 = 1,745,760,240 : x
  2. Step 2: Convert to fraction form
    808,214,400/1,745,760,240 = 1,745,760,240/x
  3. Step 3: Cross multiply
    808,214,400x = 1,745,760,240 × 1,745,760,240
  4. Step 4: Simplify right side
    808,214,400x = 3,047,678,815,564,857,344
  5. Step 5: Solve for x
    x = 3,047,678,815,564,857,344/808,214,400
  6. Step 6: Final answer
    x = 3,770,879,132.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.