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Finding the Third Proportional to 5,409,412.50 and 11,422,437

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Solution

The third proportional to 5,409,412.50 and 11,422,437 is: 24,119,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,412.50 : 11,422,437 = 11,422,437 : x
  2. Step 2: Convert to fraction form
    5,409,412.50/11,422,437 = 11,422,437/x
  3. Step 3: Cross multiply
    5,409,412.50x = 11,422,437 × 11,422,437
  4. Step 4: Simplify right side
    5,409,412.50x = 130,472,067,018,969
  5. Step 5: Solve for x
    x = 130,472,067,018,969/5,409,412.50
  6. Step 6: Final answer
    x = 24,119,452.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.