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Finding the Third Proportional to 1,469,314,372 and 3,196,897,892

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Solution

The third proportional to 1,469,314,372 and 3,196,897,892 is: 6,955,731,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,314,372 : 3,196,897,892 = 3,196,897,892 : x
  2. Step 2: Convert to fraction form
    1,469,314,372/3,196,897,892 = 3,196,897,892/x
  3. Step 3: Cross multiply
    1,469,314,372x = 3,196,897,892 × 3,196,897,892
  4. Step 4: Simplify right side
    1,469,314,372x = 10,220,156,131,874,043,904
  5. Step 5: Solve for x
    x = 10,220,156,131,874,043,904/1,469,314,372
  6. Step 6: Final answer
    x = 6,955,731,412.31

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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.