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Finding the Third Proportional to 781,256,296 and 1,669,957,105

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Solution

The third proportional to 781,256,296 and 1,669,957,105 is: 3,569,579,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,256,296 : 1,669,957,105 = 1,669,957,105 : x
  2. Step 2: Convert to fraction form
    781,256,296/1,669,957,105 = 1,669,957,105/x
  3. Step 3: Cross multiply
    781,256,296x = 1,669,957,105 × 1,669,957,105
  4. Step 4: Simplify right side
    781,256,296x = 2,788,756,732,539,980,800
  5. Step 5: Solve for x
    x = 2,788,756,732,539,980,800/781,256,296
  6. Step 6: Final answer
    x = 3,569,579,850.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.