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Finding the Third Proportional to 6,045,009 and 12,772,306.50

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Solution

The third proportional to 6,045,009 and 12,772,306.50 is: 26,986,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045,009 : 12,772,306.50 = 12,772,306.50 : x
  2. Step 2: Convert to fraction form
    6,045,009/12,772,306.50 = 12,772,306.50/x
  3. Step 3: Cross multiply
    6,045,009x = 12,772,306.50 × 12,772,306.50
  4. Step 4: Simplify right side
    6,045,009x = 163,131,813,329,942.25
  5. Step 5: Solve for x
    x = 163,131,813,329,942.25/6,045,009
  6. Step 6: Final answer
    x = 26,986,198.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.