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Finding the Third Proportional to 6,197,590.50 and 13,424,311.50

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Solution

The third proportional to 6,197,590.50 and 13,424,311.50 is: 29,077,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,590.50 : 13,424,311.50 = 13,424,311.50 : x
  2. Step 2: Convert to fraction form
    6,197,590.50/13,424,311.50 = 13,424,311.50/x
  3. Step 3: Cross multiply
    6,197,590.50x = 13,424,311.50 × 13,424,311.50
  4. Step 4: Simplify right side
    6,197,590.50x = 180,212,139,249,032.25
  5. Step 5: Solve for x
    x = 180,212,139,249,032.25/6,197,590.50
  6. Step 6: Final answer
    x = 29,077,774.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.