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Finding the Third Proportional to 36,977,217 and 78,901,014

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Solution

The third proportional to 36,977,217 and 78,901,014 is: 168,356,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977,217 : 78,901,014 = 78,901,014 : x
  2. Step 2: Convert to fraction form
    36,977,217/78,901,014 = 78,901,014/x
  3. Step 3: Cross multiply
    36,977,217x = 78,901,014 × 78,901,014
  4. Step 4: Simplify right side
    36,977,217x = 6,225,370,010,228,196
  5. Step 5: Solve for x
    x = 6,225,370,010,228,196/36,977,217
  6. Step 6: Final answer
    x = 168,356,910.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.