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Finding the Third Proportional to 38,026,179 and 82,112,454

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Solution

The third proportional to 38,026,179 and 82,112,454 is: 177,310,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026,179 : 82,112,454 = 82,112,454 : x
  2. Step 2: Convert to fraction form
    38,026,179/82,112,454 = 82,112,454/x
  3. Step 3: Cross multiply
    38,026,179x = 82,112,454 × 82,112,454
  4. Step 4: Simplify right side
    38,026,179x = 6,742,455,101,902,116
  5. Step 5: Solve for x
    x = 6,742,455,101,902,116/38,026,179
  6. Step 6: Final answer
    x = 177,310,875.80

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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.