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Finding the Third Proportional to 17,642,362 and 38,216,338

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Solution

The third proportional to 17,642,362 and 38,216,338 is: 82,783,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642,362 : 38,216,338 = 38,216,338 : x
  2. Step 2: Convert to fraction form
    17,642,362/38,216,338 = 38,216,338/x
  3. Step 3: Cross multiply
    17,642,362x = 38,216,338 × 38,216,338
  4. Step 4: Simplify right side
    17,642,362x = 1,460,488,490,130,244
  5. Step 5: Solve for x
    x = 1,460,488,490,130,244/17,642,362
  6. Step 6: Final answer
    x = 82,783,047.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.