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Finding the Third Proportional to 5,145,322.50 and 7,563,840.75

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Solution

The third proportional to 5,145,322.50 and 7,563,840.75 is: 11,119,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145,322.50 : 7,563,840.75 = 7,563,840.75 : x
  2. Step 2: Convert to fraction form
    5,145,322.50/7,563,840.75 = 7,563,840.75/x
  3. Step 3: Cross multiply
    5,145,322.50x = 7,563,840.75 × 7,563,840.75
  4. Step 4: Simplify right side
    5,145,322.50x = 57,211,686,891,360.56
  5. Step 5: Solve for x
    x = 57,211,686,891,360.56/5,145,322.50
  6. Step 6: Final answer
    x = 11,119,164.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.