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Finding the Third Proportional to 5,418,607.50 and 7,430,393.25

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Solution

The third proportional to 5,418,607.50 and 7,430,393.25 is: 10,189,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418,607.50 : 7,430,393.25 = 7,430,393.25 : x
  2. Step 2: Convert to fraction form
    5,418,607.50/7,430,393.25 = 7,430,393.25/x
  3. Step 3: Cross multiply
    5,418,607.50x = 7,430,393.25 × 7,430,393.25
  4. Step 4: Simplify right side
    5,418,607.50x = 55,210,743,849,645.56
  5. Step 5: Solve for x
    x = 55,210,743,849,645.56/5,418,607.50
  6. Step 6: Final answer
    x = 10,189,101.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.