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Finding the Third Proportional to 43,767,069 and 68,655,177

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Solution

The third proportional to 43,767,069 and 68,655,177 is: 107,695,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,767,069 : 68,655,177 = 68,655,177 : x
  2. Step 2: Convert to fraction form
    43,767,069/68,655,177 = 68,655,177/x
  3. Step 3: Cross multiply
    43,767,069x = 68,655,177 × 68,655,177
  4. Step 4: Simplify right side
    43,767,069x = 4,713,533,328,901,329
  5. Step 5: Solve for x
    x = 4,713,533,328,901,329/43,767,069
  6. Step 6: Final answer
    x = 107,695,887.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.