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Finding the Third Proportional to 2,077,817,591 and 4,571,191,420

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Solution

The third proportional to 2,077,817,591 and 4,571,191,420 is: 10,056,605,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,817,591 : 4,571,191,420 = 4,571,191,420 : x
  2. Step 2: Convert to fraction form
    2,077,817,591/4,571,191,420 = 4,571,191,420/x
  3. Step 3: Cross multiply
    2,077,817,591x = 4,571,191,420 × 4,571,191,420
  4. Step 4: Simplify right side
    2,077,817,591x = 20,895,790,998,281,617,408
  5. Step 5: Solve for x
    x = 20,895,790,998,281,617,408/2,077,817,591
  6. Step 6: Final answer
    x = 10,056,605,107.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.