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Finding the Third Proportional to 1,834,012,394 and 4,028,321,464

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Solution

The third proportional to 1,834,012,394 and 4,028,321,464 is: 8,848,017,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,012,394 : 4,028,321,464 = 4,028,321,464 : x
  2. Step 2: Convert to fraction form
    1,834,012,394/4,028,321,464 = 4,028,321,464/x
  3. Step 3: Cross multiply
    1,834,012,394x = 4,028,321,464 × 4,028,321,464
  4. Step 4: Simplify right side
    1,834,012,394x = 16,227,373,817,323,104,256
  5. Step 5: Solve for x
    x = 16,227,373,817,323,104,256/1,834,012,394
  6. Step 6: Final answer
    x = 8,848,017,532.71

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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.