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Finding the Third Proportional to 5,531,978 and 7,457,511

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Solution

The third proportional to 5,531,978 and 7,457,511 is: 10,053,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531,978 : 7,457,511 = 7,457,511 : x
  2. Step 2: Convert to fraction form
    5,531,978/7,457,511 = 7,457,511/x
  3. Step 3: Cross multiply
    5,531,978x = 7,457,511 × 7,457,511
  4. Step 4: Simplify right side
    5,531,978x = 55,614,470,315,121
  5. Step 5: Solve for x
    x = 55,614,470,315,121/5,531,978
  6. Step 6: Final answer
    x = 10,053,270.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.