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Finding the Third Proportional to 17,642,356.50 and 38,216,326.13

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Solution

The third proportional to 17,642,356.50 and 38,216,326.13 is: 82,783,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642,356.50 : 38,216,326.13 = 38,216,326.13 : x
  2. Step 2: Convert to fraction form
    17,642,356.50/38,216,326.13 = 38,216,326.13/x
  3. Step 3: Cross multiply
    17,642,356.50x = 38,216,326.13 × 38,216,326.13
  4. Step 4: Simplify right side
    17,642,356.50x = 1,460,487,582,492,357.50
  5. Step 5: Solve for x
    x = 1,460,487,582,492,357.50/17,642,356.50
  6. Step 6: Final answer
    x = 82,783,021.79

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Why These Related Problems?

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