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Finding the Third Proportional to 38,580,744 and 83,218,896

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Solution

The third proportional to 38,580,744 and 83,218,896 is: 179,503,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,744 : 83,218,896 = 83,218,896 : x
  2. Step 2: Convert to fraction form
    38,580,744/83,218,896 = 83,218,896/x
  3. Step 3: Cross multiply
    38,580,744x = 83,218,896 × 83,218,896
  4. Step 4: Simplify right side
    38,580,744x = 6,925,384,651,458,816
  5. Step 5: Solve for x
    x = 6,925,384,651,458,816/38,580,744
  6. Step 6: Final answer
    x = 179,503,657.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.