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Finding the Third Proportional to 55,698,516 and 85,149,036

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Solution

The third proportional to 55,698,516 and 85,149,036 is: 130,171,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,698,516 : 85,149,036 = 85,149,036 : x
  2. Step 2: Convert to fraction form
    55,698,516/85,149,036 = 85,149,036/x
  3. Step 3: Cross multiply
    55,698,516x = 85,149,036 × 85,149,036
  4. Step 4: Simplify right side
    55,698,516x = 7,250,358,331,729,296
  5. Step 5: Solve for x
    x = 7,250,358,331,729,296/55,698,516
  6. Step 6: Final answer
    x = 130,171,481.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.