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Finding the Third Proportional to 36,818,616 and 80,101,492.50

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Solution

The third proportional to 36,818,616 and 80,101,492.50 is: 174,266,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,818,616 : 80,101,492.50 = 80,101,492.50 : x
  2. Step 2: Convert to fraction form
    36,818,616/80,101,492.50 = 80,101,492.50/x
  3. Step 3: Cross multiply
    36,818,616x = 80,101,492.50 × 80,101,492.50
  4. Step 4: Simplify right side
    36,818,616x = 6,416,249,100,727,556
  5. Step 5: Solve for x
    x = 6,416,249,100,727,556/36,818,616
  6. Step 6: Final answer
    x = 174,266,439.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.