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Finding the Third Proportional to 5,400,317.50 and 7,596,223.50

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Solution

The third proportional to 5,400,317.50 and 7,596,223.50 is: 10,685,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400,317.50 : 7,596,223.50 = 7,596,223.50 : x
  2. Step 2: Convert to fraction form
    5,400,317.50/7,596,223.50 = 7,596,223.50/x
  3. Step 3: Cross multiply
    5,400,317.50x = 7,596,223.50 × 7,596,223.50
  4. Step 4: Simplify right side
    5,400,317.50x = 57,702,611,461,952.25
  5. Step 5: Solve for x
    x = 57,702,611,461,952.25/5,400,317.50
  6. Step 6: Final answer
    x = 10,685,040.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.