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Finding the Third Proportional to 5,769,070 and 12,310,302

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Solution

The third proportional to 5,769,070 and 12,310,302 is: 26,268,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,070 : 12,310,302 = 12,310,302 : x
  2. Step 2: Convert to fraction form
    5,769,070/12,310,302 = 12,310,302/x
  3. Step 3: Cross multiply
    5,769,070x = 12,310,302 × 12,310,302
  4. Step 4: Simplify right side
    5,769,070x = 151,543,535,331,204
  5. Step 5: Solve for x
    x = 151,543,535,331,204/5,769,070
  6. Step 6: Final answer
    x = 26,268,278.13

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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.