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Finding the Third Proportional to 8,032,209 and 12,065,815.50

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Solution

The third proportional to 8,032,209 and 12,065,815.50 is: 18,125,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,209 : 12,065,815.50 = 12,065,815.50 : x
  2. Step 2: Convert to fraction form
    8,032,209/12,065,815.50 = 12,065,815.50/x
  3. Step 3: Cross multiply
    8,032,209x = 12,065,815.50 × 12,065,815.50
  4. Step 4: Simplify right side
    8,032,209x = 145,583,903,680,040.25
  5. Step 5: Solve for x
    x = 145,583,903,680,040.25/8,032,209
  6. Step 6: Final answer
    x = 18,125,014.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.