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Finding the Third Proportional to 38,423,980.13 and 82,983,057.19

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Solution

The third proportional to 38,423,980.13 and 82,983,057.19 is: 179,215,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423,980.13 : 82,983,057.19 = 82,983,057.19 : x
  2. Step 2: Convert to fraction form
    38,423,980.13/82,983,057.19 = 82,983,057.19/x
  3. Step 3: Cross multiply
    38,423,980.13x = 82,983,057.19 × 82,983,057.19
  4. Step 4: Simplify right side
    38,423,980.13x = 6,886,187,780,183,895
  5. Step 5: Solve for x
    x = 6,886,187,780,183,895/38,423,980.13
  6. Step 6: Final answer
    x = 179,215,889.60

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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.