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Finding the Third Proportional to 7,181,937 and 11,433,407

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Solution

The third proportional to 7,181,937 and 11,433,407 is: 18,201,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181,937 : 11,433,407 = 11,433,407 : x
  2. Step 2: Convert to fraction form
    7,181,937/11,433,407 = 11,433,407/x
  3. Step 3: Cross multiply
    7,181,937x = 11,433,407 × 11,433,407
  4. Step 4: Simplify right side
    7,181,937x = 130,722,795,627,649
  5. Step 5: Solve for x
    x = 130,722,795,627,649/7,181,937
  6. Step 6: Final answer
    x = 18,201,607.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.