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Finding the Third Proportional to 9,267,142.50 and 19,301,265

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Solution

The third proportional to 9,267,142.50 and 19,301,265 is: 40,199,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267,142.50 : 19,301,265 = 19,301,265 : x
  2. Step 2: Convert to fraction form
    9,267,142.50/19,301,265 = 19,301,265/x
  3. Step 3: Cross multiply
    9,267,142.50x = 19,301,265 × 19,301,265
  4. Step 4: Simplify right side
    9,267,142.50x = 372,538,830,600,225
  5. Step 5: Solve for x
    x = 372,538,830,600,225/9,267,142.50
  6. Step 6: Final answer
    x = 40,199,967.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.