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Finding the Third Proportional to 1,687,956,910,671 and 2,277,450,165,269

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Solution

The third proportional to 1,687,956,910,671 and 2,277,450,165,269 is: 3,072,814,964,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,956,910,671 : 2,277,450,165,269 = 2,277,450,165,269 : x
  2. Step 2: Convert to fraction form
    1,687,956,910,671/2,277,450,165,269 = 2,277,450,165,269/x
  3. Step 3: Cross multiply
    1,687,956,910,671x = 2,277,450,165,269 × 2,277,450,165,269
  4. Step 4: Simplify right side
    1,687,956,910,671x = 5,186,779,255,283,795,797,999,616
  5. Step 5: Solve for x
    x = 5,186,779,255,283,795,797,999,616/1,687,956,910,671
  6. Step 6: Final answer
    x = 3,072,814,964,940.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.