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Finding the Third Proportional to 2,077,817,588 and 4,571,191,414

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Solution

The third proportional to 2,077,817,588 and 4,571,191,414 is: 10,056,605,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,817,588 : 4,571,191,414 = 4,571,191,414 : x
  2. Step 2: Convert to fraction form
    2,077,817,588/4,571,191,414 = 4,571,191,414/x
  3. Step 3: Cross multiply
    2,077,817,588x = 4,571,191,414 × 4,571,191,414
  4. Step 4: Simplify right side
    2,077,817,588x = 20,895,790,943,427,317,760
  5. Step 5: Solve for x
    x = 20,895,790,943,427,317,760/2,077,817,588
  6. Step 6: Final answer
    x = 10,056,605,095.71

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Why These Related Problems?

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