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Finding the Third Proportional to 9,065,803.50 and 12,565,165.50

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Solution

The third proportional to 9,065,803.50 and 12,565,165.50 is: 17,415,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065,803.50 : 12,565,165.50 = 12,565,165.50 : x
  2. Step 2: Convert to fraction form
    9,065,803.50/12,565,165.50 = 12,565,165.50/x
  3. Step 3: Cross multiply
    9,065,803.50x = 12,565,165.50 × 12,565,165.50
  4. Step 4: Simplify right side
    9,065,803.50x = 157,883,384,042,390.25
  5. Step 5: Solve for x
    x = 157,883,384,042,390.25/9,065,803.50
  6. Step 6: Final answer
    x = 17,415,266.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.