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Finding the Third Proportional to 13,961,768,155 and 19,591,124,576

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Solution

The third proportional to 13,961,768,155 and 19,591,124,576 is: 27,490,226,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961,768,155 : 19,591,124,576 = 19,591,124,576 : x
  2. Step 2: Convert to fraction form
    13,961,768,155/19,591,124,576 = 19,591,124,576/x
  3. Step 3: Cross multiply
    13,961,768,155x = 19,591,124,576 × 19,591,124,576
  4. Step 4: Simplify right side
    13,961,768,155x = 383,812,162,152,351,203,328
  5. Step 5: Solve for x
    x = 383,812,162,152,351,203,328/13,961,768,155
  6. Step 6: Final answer
    x = 27,490,226,015.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.