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Finding the Third Proportional to 38,375,148 and 78,291,807

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Solution

The third proportional to 38,375,148 and 78,291,807 is: 159,728,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,375,148 : 78,291,807 = 78,291,807 : x
  2. Step 2: Convert to fraction form
    38,375,148/78,291,807 = 78,291,807/x
  3. Step 3: Cross multiply
    38,375,148x = 78,291,807 × 78,291,807
  4. Step 4: Simplify right side
    38,375,148x = 6,129,607,043,325,249
  5. Step 5: Solve for x
    x = 6,129,607,043,325,249/38,375,148
  6. Step 6: Final answer
    x = 159,728,557.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.