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Finding the Third Proportional to 408,116,582.58 and 833,363,116.03

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Solution

The third proportional to 408,116,582.58 and 833,363,116.03 is: 1,701,705,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,116,582.58 : 833,363,116.03 = 833,363,116.03 : x
  2. Step 2: Convert to fraction form
    408,116,582.58/833,363,116.03 = 833,363,116.03/x
  3. Step 3: Cross multiply
    408,116,582.58x = 833,363,116.03 × 833,363,116.03
  4. Step 4: Simplify right side
    408,116,582.58x = 694,494,083,161,297,920
  5. Step 5: Solve for x
    x = 694,494,083,161,297,920/408,116,582.58
  6. Step 6: Final answer
    x = 1,701,705,132.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.