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Finding the Third Proportional to 38,024,942 and 82,111,435

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Solution

The third proportional to 38,024,942 and 82,111,435 is: 177,312,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,942 : 82,111,435 = 82,111,435 : x
  2. Step 2: Convert to fraction form
    38,024,942/82,111,435 = 82,111,435/x
  3. Step 3: Cross multiply
    38,024,942x = 82,111,435 × 82,111,435
  4. Step 4: Simplify right side
    38,024,942x = 6,742,287,757,759,225
  5. Step 5: Solve for x
    x = 6,742,287,757,759,225/38,024,942
  6. Step 6: Final answer
    x = 177,312,243.05

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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.