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Finding the Third Proportional to 6,404,123.25 and 13,723,506

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Solution

The third proportional to 6,404,123.25 and 13,723,506 is: 29,408,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,123.25 : 13,723,506 = 13,723,506 : x
  2. Step 2: Convert to fraction form
    6,404,123.25/13,723,506 = 13,723,506/x
  3. Step 3: Cross multiply
    6,404,123.25x = 13,723,506 × 13,723,506
  4. Step 4: Simplify right side
    6,404,123.25x = 188,334,616,932,036
  5. Step 5: Solve for x
    x = 188,334,616,932,036/6,404,123.25
  6. Step 6: Final answer
    x = 29,408,337.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.