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Finding the Third Proportional to 5,256,720 and 11,405,712

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Solution

The third proportional to 5,256,720 and 11,405,712 is: 24,747,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256,720 : 11,405,712 = 11,405,712 : x
  2. Step 2: Convert to fraction form
    5,256,720/11,405,712 = 11,405,712/x
  3. Step 3: Cross multiply
    5,256,720x = 11,405,712 × 11,405,712
  4. Step 4: Simplify right side
    5,256,720x = 130,090,266,226,944
  5. Step 5: Solve for x
    x = 130,090,266,226,944/5,256,720
  6. Step 6: Final answer
    x = 24,747,421.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.