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Finding the Third Proportional to 2,858,061,828 and 6,191,045,083.50

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Solution

The third proportional to 2,858,061,828 and 6,191,045,083.50 is: 13,410,850,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,061,828 : 6,191,045,083.50 = 6,191,045,083.50 : x
  2. Step 2: Convert to fraction form
    2,858,061,828/6,191,045,083.50 = 6,191,045,083.50/x
  3. Step 3: Cross multiply
    2,858,061,828x = 6,191,045,083.50 × 6,191,045,083.50
  4. Step 4: Simplify right side
    2,858,061,828x = 38,329,039,225,929,523,200
  5. Step 5: Solve for x
    x = 38,329,039,225,929,523,200/2,858,061,828
  6. Step 6: Final answer
    x = 13,410,850,265.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.