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Finding the Third Proportional to 38,579,886 and 83,217,120

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Solution

The third proportional to 38,579,886 and 83,217,120 is: 179,499,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,579,886 : 83,217,120 = 83,217,120 : x
  2. Step 2: Convert to fraction form
    38,579,886/83,217,120 = 83,217,120/x
  3. Step 3: Cross multiply
    38,579,886x = 83,217,120 × 83,217,120
  4. Step 4: Simplify right side
    38,579,886x = 6,925,089,061,094,400
  5. Step 5: Solve for x
    x = 6,925,089,061,094,400/38,579,886
  6. Step 6: Final answer
    x = 179,499,987.66

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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.