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Finding the Third Proportional to 5,644,210.50 and 8,519,222.25

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Solution

The third proportional to 5,644,210.50 and 8,519,222.25 is: 12,858,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644,210.50 : 8,519,222.25 = 8,519,222.25 : x
  2. Step 2: Convert to fraction form
    5,644,210.50/8,519,222.25 = 8,519,222.25/x
  3. Step 3: Cross multiply
    5,644,210.50x = 8,519,222.25 × 8,519,222.25
  4. Step 4: Simplify right side
    5,644,210.50x = 72,577,147,744,895.06
  5. Step 5: Solve for x
    x = 72,577,147,744,895.06/5,644,210.50
  6. Step 6: Final answer
    x = 12,858,689.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.