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Finding the Third Proportional to 19,280,073 and 28,181,209.50

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Solution

The third proportional to 19,280,073 and 28,181,209.50 is: 41,191,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,280,073 : 28,181,209.50 = 28,181,209.50 : x
  2. Step 2: Convert to fraction form
    19,280,073/28,181,209.50 = 28,181,209.50/x
  3. Step 3: Cross multiply
    19,280,073x = 28,181,209.50 × 28,181,209.50
  4. Step 4: Simplify right side
    19,280,073x = 794,180,568,882,890.25
  5. Step 5: Solve for x
    x = 794,180,568,882,890.25/19,280,073
  6. Step 6: Final answer
    x = 41,191,782.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.