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Finding the Third Proportional to 5,619,196.13 and 8,406,217.13

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Solution

The third proportional to 5,619,196.13 and 8,406,217.13 is: 12,575,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619,196.13 : 8,406,217.13 = 8,406,217.13 : x
  2. Step 2: Convert to fraction form
    5,619,196.13/8,406,217.13 = 8,406,217.13/x
  3. Step 3: Cross multiply
    5,619,196.13x = 8,406,217.13 × 8,406,217.13
  4. Step 4: Simplify right side
    5,619,196.13x = 70,664,486,352,643.27
  5. Step 5: Solve for x
    x = 70,664,486,352,643.27/5,619,196.13
  6. Step 6: Final answer
    x = 12,575,550.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.