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Finding the Third Proportional to 69,907,997 and 108,542,636

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Solution

The third proportional to 69,907,997 and 108,542,636 is: 168,528,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,907,997 : 108,542,636 = 108,542,636 : x
  2. Step 2: Convert to fraction form
    69,907,997/108,542,636 = 108,542,636/x
  3. Step 3: Cross multiply
    69,907,997x = 108,542,636 × 108,542,636
  4. Step 4: Simplify right side
    69,907,997x = 11,781,503,829,828,496
  5. Step 5: Solve for x
    x = 11,781,503,829,828,496/69,907,997
  6. Step 6: Final answer
    x = 168,528,699.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.