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Finding the Third Proportional to 71,672,989 and 110,677,916

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Solution

The third proportional to 71,672,989 and 110,677,916 is: 170,909,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,672,989 : 110,677,916 = 110,677,916 : x
  2. Step 2: Convert to fraction form
    71,672,989/110,677,916 = 110,677,916/x
  3. Step 3: Cross multiply
    71,672,989x = 110,677,916 × 110,677,916
  4. Step 4: Simplify right side
    71,672,989x = 12,249,601,090,103,056
  5. Step 5: Solve for x
    x = 12,249,601,090,103,056/71,672,989
  6. Step 6: Final answer
    x = 170,909,588.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.