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Finding the Third Proportional to 6,509,172,442 and 14,127,993,692

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Solution

The third proportional to 6,509,172,442 and 14,127,993,692 is: 30,664,451,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,172,442 : 14,127,993,692 = 14,127,993,692 : x
  2. Step 2: Convert to fraction form
    6,509,172,442/14,127,993,692 = 14,127,993,692/x
  3. Step 3: Cross multiply
    6,509,172,442x = 14,127,993,692 × 14,127,993,692
  4. Step 4: Simplify right side
    6,509,172,442x = 199,600,205,761,191,804,928
  5. Step 5: Solve for x
    x = 199,600,205,761,191,804,928/6,509,172,442
  6. Step 6: Final answer
    x = 30,664,451,977.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.