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Finding the Third Proportional to 69,756,876 and 162,931,682.25

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Solution

The third proportional to 69,756,876 and 162,931,682.25 is: 380,560,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,756,876 : 162,931,682.25 = 162,931,682.25 : x
  2. Step 2: Convert to fraction form
    69,756,876/162,931,682.25 = 162,931,682.25/x
  3. Step 3: Cross multiply
    69,756,876x = 162,931,682.25 × 162,931,682.25
  4. Step 4: Simplify right side
    69,756,876x = 26,546,733,080,814,964
  5. Step 5: Solve for x
    x = 26,546,733,080,814,964/69,756,876
  6. Step 6: Final answer
    x = 380,560,807.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.