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Finding the Third Proportional to 66,834,096 and 106,346,184

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Solution

The third proportional to 66,834,096 and 106,346,184 is: 169,217,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834,096 : 106,346,184 = 106,346,184 : x
  2. Step 2: Convert to fraction form
    66,834,096/106,346,184 = 106,346,184/x
  3. Step 3: Cross multiply
    66,834,096x = 106,346,184 × 106,346,184
  4. Step 4: Simplify right side
    66,834,096x = 11,309,510,851,361,856
  5. Step 5: Solve for x
    x = 11,309,510,851,361,856/66,834,096
  6. Step 6: Final answer
    x = 169,217,682.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.