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Finding the Third Proportional to 17,642,358.14 and 38,216,329.98

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Solution

The third proportional to 17,642,358.14 and 38,216,329.98 is: 82,783,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642,358.14 : 38,216,329.98 = 38,216,329.98 : x
  2. Step 2: Convert to fraction form
    17,642,358.14/38,216,329.98 = 38,216,329.98/x
  3. Step 3: Cross multiply
    17,642,358.14x = 38,216,329.98 × 38,216,329.98
  4. Step 4: Simplify right side
    17,642,358.14x = 1,460,487,877,176,017
  5. Step 5: Solve for x
    x = 1,460,487,877,176,017/17,642,358.14
  6. Step 6: Final answer
    x = 82,783,030.79

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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.