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Finding the Third Proportional to 5,740,454 and 12,489,764

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Solution

The third proportional to 5,740,454 and 12,489,764 is: 27,174,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,454 : 12,489,764 = 12,489,764 : x
  2. Step 2: Convert to fraction form
    5,740,454/12,489,764 = 12,489,764/x
  3. Step 3: Cross multiply
    5,740,454x = 12,489,764 × 12,489,764
  4. Step 4: Simplify right side
    5,740,454x = 155,994,204,775,696
  5. Step 5: Solve for x
    x = 155,994,204,775,696/5,740,454
  6. Step 6: Final answer
    x = 27,174,541.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.