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Finding the Third Proportional to 5,769,153 and 12,310,562.25

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Solution

The third proportional to 5,769,153 and 12,310,562.25 is: 26,269,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,153 : 12,310,562.25 = 12,310,562.25 : x
  2. Step 2: Convert to fraction form
    5,769,153/12,310,562.25 = 12,310,562.25/x
  3. Step 3: Cross multiply
    5,769,153x = 12,310,562.25 × 12,310,562.25
  4. Step 4: Simplify right side
    5,769,153x = 151,549,942,911,125.06
  5. Step 5: Solve for x
    x = 151,549,942,911,125.06/5,769,153
  6. Step 6: Final answer
    x = 26,269,010.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.