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Finding the Third Proportional to 17,642,358 and 38,216,329.50

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Solution

The third proportional to 17,642,358 and 38,216,329.50 is: 82,783,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642,358 : 38,216,329.50 = 38,216,329.50 : x
  2. Step 2: Convert to fraction form
    17,642,358/38,216,329.50 = 38,216,329.50/x
  3. Step 3: Cross multiply
    17,642,358x = 38,216,329.50 × 38,216,329.50
  4. Step 4: Simplify right side
    17,642,358x = 1,460,487,840,452,570.25
  5. Step 5: Solve for x
    x = 1,460,487,840,452,570.25/17,642,358
  6. Step 6: Final answer
    x = 82,783,029.37

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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.