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Finding the Third Proportional to 8,174,196 and 19,268,857.50

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Solution

The third proportional to 8,174,196 and 19,268,857.50 is: 45,422,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174,196 : 19,268,857.50 = 19,268,857.50 : x
  2. Step 2: Convert to fraction form
    8,174,196/19,268,857.50 = 19,268,857.50/x
  3. Step 3: Cross multiply
    8,174,196x = 19,268,857.50 × 19,268,857.50
  4. Step 4: Simplify right side
    8,174,196x = 371,288,869,355,306.25
  5. Step 5: Solve for x
    x = 371,288,869,355,306.25/8,174,196
  6. Step 6: Final answer
    x = 45,422,065.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.