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Finding the Third Proportional to 8,189,013 and 12,845,038.50

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Solution

The third proportional to 8,189,013 and 12,845,038.50 is: 20,148,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189,013 : 12,845,038.50 = 12,845,038.50 : x
  2. Step 2: Convert to fraction form
    8,189,013/12,845,038.50 = 12,845,038.50/x
  3. Step 3: Cross multiply
    8,189,013x = 12,845,038.50 × 12,845,038.50
  4. Step 4: Simplify right side
    8,189,013x = 164,995,014,066,482.25
  5. Step 5: Solve for x
    x = 164,995,014,066,482.25/8,189,013
  6. Step 6: Final answer
    x = 20,148,339.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.