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Finding the Third Proportional to 38,024,936 and 82,111,423

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Solution

The third proportional to 38,024,936 and 82,111,423 is: 177,312,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,936 : 82,111,423 = 82,111,423 : x
  2. Step 2: Convert to fraction form
    38,024,936/82,111,423 = 82,111,423/x
  3. Step 3: Cross multiply
    38,024,936x = 82,111,423 × 82,111,423
  4. Step 4: Simplify right side
    38,024,936x = 6,742,285,787,084,929
  5. Step 5: Solve for x
    x = 6,742,285,787,084,929/38,024,936
  6. Step 6: Final answer
    x = 177,312,219.20

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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.