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Finding the Third Proportional to 38,024,926 and 82,111,406

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Solution

The third proportional to 38,024,926 and 82,111,406 is: 177,312,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,926 : 82,111,406 = 82,111,406 : x
  2. Step 2: Convert to fraction form
    38,024,926/82,111,406 = 82,111,406/x
  3. Step 3: Cross multiply
    38,024,926x = 82,111,406 × 82,111,406
  4. Step 4: Simplify right side
    38,024,926x = 6,742,282,995,296,836
  5. Step 5: Solve for x
    x = 6,742,282,995,296,836/38,024,926
  6. Step 6: Final answer
    x = 177,312,192.41

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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.