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Finding the Third Proportional to 27,011,909.50 and 59,146,745.25

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Solution

The third proportional to 27,011,909.50 and 59,146,745.25 is: 129,510,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011,909.50 : 59,146,745.25 = 59,146,745.25 : x
  2. Step 2: Convert to fraction form
    27,011,909.50/59,146,745.25 = 59,146,745.25/x
  3. Step 3: Cross multiply
    27,011,909.50x = 59,146,745.25 × 59,146,745.25
  4. Step 4: Simplify right side
    27,011,909.50x = 3,498,337,473,668,397.50
  5. Step 5: Solve for x
    x = 3,498,337,473,668,397.50/27,011,909.50
  6. Step 6: Final answer
    x = 129,510,928.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.