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Finding the Third Proportional to 23,205,069 and 49,176,316.69

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Solution

The third proportional to 23,205,069 and 49,176,316.69 is: 104,214,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205,069 : 49,176,316.69 = 49,176,316.69 : x
  2. Step 2: Convert to fraction form
    23,205,069/49,176,316.69 = 49,176,316.69/x
  3. Step 3: Cross multiply
    23,205,069x = 49,176,316.69 × 49,176,316.69
  4. Step 4: Simplify right side
    23,205,069x = 2,418,310,122,949,291
  5. Step 5: Solve for x
    x = 2,418,310,122,949,291/23,205,069
  6. Step 6: Final answer
    x = 104,214,735.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.