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Finding the Third Proportional to 829,833,756 and 1,693,000,302

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Solution

The third proportional to 829,833,756 and 1,693,000,302 is: 3,454,005,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,833,756 : 1,693,000,302 = 1,693,000,302 : x
  2. Step 2: Convert to fraction form
    829,833,756/1,693,000,302 = 1,693,000,302/x
  3. Step 3: Cross multiply
    829,833,756x = 1,693,000,302 × 1,693,000,302
  4. Step 4: Simplify right side
    829,833,756x = 2,866,250,022,572,091,392
  5. Step 5: Solve for x
    x = 2,866,250,022,572,091,392/829,833,756
  6. Step 6: Final answer
    x = 3,454,005,096.62

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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.