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Finding the Third Proportional to 38,024,932 and 82,111,417

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Solution

The third proportional to 38,024,932 and 82,111,417 is: 177,312,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,932 : 82,111,417 = 82,111,417 : x
  2. Step 2: Convert to fraction form
    38,024,932/82,111,417 = 82,111,417/x
  3. Step 3: Cross multiply
    38,024,932x = 82,111,417 × 82,111,417
  4. Step 4: Simplify right side
    38,024,932x = 6,742,284,801,747,889
  5. Step 5: Solve for x
    x = 6,742,284,801,747,889/38,024,932
  6. Step 6: Final answer
    x = 177,312,211.94

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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.