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Finding the Third Proportional to 5,474,681,820 and 11,239,592,472

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Solution

The third proportional to 5,474,681,820 and 11,239,592,472 is: 23,075,028,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474,681,820 : 11,239,592,472 = 11,239,592,472 : x
  2. Step 2: Convert to fraction form
    5,474,681,820/11,239,592,472 = 11,239,592,472/x
  3. Step 3: Cross multiply
    5,474,681,820x = 11,239,592,472 × 11,239,592,472
  4. Step 4: Simplify right side
    5,474,681,820x = 126,328,438,936,639,078,400
  5. Step 5: Solve for x
    x = 126,328,438,936,639,078,400/5,474,681,820
  6. Step 6: Final answer
    x = 23,075,028,483.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.