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Finding the Third Proportional to 38,022,574 and 82,105,724

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Solution

The third proportional to 38,022,574 and 82,105,724 is: 177,298,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022,574 : 82,105,724 = 82,105,724 : x
  2. Step 2: Convert to fraction form
    38,022,574/82,105,724 = 82,105,724/x
  3. Step 3: Cross multiply
    38,022,574x = 82,105,724 × 82,105,724
  4. Step 4: Simplify right side
    38,022,574x = 6,741,349,913,564,176
  5. Step 5: Solve for x
    x = 6,741,349,913,564,176/38,022,574
  6. Step 6: Final answer
    x = 177,298,620.38

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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.