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Finding the Third Proportional to 4,191,847.13 and 8,537,832

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Solution

The third proportional to 4,191,847.13 and 8,537,832 is: 17,389,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,847.13 : 8,537,832 = 8,537,832 : x
  2. Step 2: Convert to fraction form
    4,191,847.13/8,537,832 = 8,537,832/x
  3. Step 3: Cross multiply
    4,191,847.13x = 8,537,832 × 8,537,832
  4. Step 4: Simplify right side
    4,191,847.13x = 72,894,575,260,224
  5. Step 5: Solve for x
    x = 72,894,575,260,224/4,191,847.13
  6. Step 6: Final answer
    x = 17,389,607.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.