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Finding the Third Proportional to 5,425,827 and 7,232,997

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Solution

The third proportional to 5,425,827 and 7,232,997 is: 9,642,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425,827 : 7,232,997 = 7,232,997 : x
  2. Step 2: Convert to fraction form
    5,425,827/7,232,997 = 7,232,997/x
  3. Step 3: Cross multiply
    5,425,827x = 7,232,997 × 7,232,997
  4. Step 4: Simplify right side
    5,425,827x = 52,316,245,602,009
  5. Step 5: Solve for x
    x = 52,316,245,602,009/5,425,827
  6. Step 6: Final answer
    x = 9,642,077.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.