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Finding the Third Proportional to 13,194,774 and 18,580,801.50

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Solution

The third proportional to 13,194,774 and 18,580,801.50 is: 26,165,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194,774 : 18,580,801.50 = 18,580,801.50 : x
  2. Step 2: Convert to fraction form
    13,194,774/18,580,801.50 = 18,580,801.50/x
  3. Step 3: Cross multiply
    13,194,774x = 18,580,801.50 × 18,580,801.50
  4. Step 4: Simplify right side
    13,194,774x = 345,246,184,382,402.25
  5. Step 5: Solve for x
    x = 345,246,184,382,402.25/13,194,774
  6. Step 6: Final answer
    x = 26,165,373.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.