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Finding the Third Proportional to 5,769,064 and 12,609,764

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Solution

The third proportional to 5,769,064 and 12,609,764 is: 27,561,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,064 : 12,609,764 = 12,609,764 : x
  2. Step 2: Convert to fraction form
    5,769,064/12,609,764 = 12,609,764/x
  3. Step 3: Cross multiply
    5,769,064x = 12,609,764 × 12,609,764
  4. Step 4: Simplify right side
    5,769,064x = 159,006,148,135,696
  5. Step 5: Solve for x
    x = 159,006,148,135,696/5,769,064
  6. Step 6: Final answer
    x = 27,561,862.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.