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Finding the Third Proportional to 408,531,807 and 846,132,630.75

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Solution

The third proportional to 408,531,807 and 846,132,630.75 is: 1,752,471,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,531,807 : 846,132,630.75 = 846,132,630.75 : x
  2. Step 2: Convert to fraction form
    408,531,807/846,132,630.75 = 846,132,630.75/x
  3. Step 3: Cross multiply
    408,531,807x = 846,132,630.75 × 846,132,630.75
  4. Step 4: Simplify right side
    408,531,807x = 715,940,428,819,915,904
  5. Step 5: Solve for x
    x = 715,940,428,819,915,904/408,531,807
  6. Step 6: Final answer
    x = 1,752,471,696.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.