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Finding the Third Proportional to 505,281,935 and 1,099,537,756

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Solution

The third proportional to 505,281,935 and 1,099,537,756 is: 2,392,690,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,281,935 : 1,099,537,756 = 1,099,537,756 : x
  2. Step 2: Convert to fraction form
    505,281,935/1,099,537,756 = 1,099,537,756/x
  3. Step 3: Cross multiply
    505,281,935x = 1,099,537,756 × 1,099,537,756
  4. Step 4: Simplify right side
    505,281,935x = 1,208,983,276,869,515,520
  5. Step 5: Solve for x
    x = 1,208,983,276,869,515,520/505,281,935
  6. Step 6: Final answer
    x = 2,392,690,482.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.