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Finding the Third Proportional to 6,380,462 and 9,807,232

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Solution

The third proportional to 6,380,462 and 9,807,232 is: 15,074,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,462 : 9,807,232 = 9,807,232 : x
  2. Step 2: Convert to fraction form
    6,380,462/9,807,232 = 9,807,232/x
  3. Step 3: Cross multiply
    6,380,462x = 9,807,232 × 9,807,232
  4. Step 4: Simplify right side
    6,380,462x = 96,181,799,501,824
  5. Step 5: Solve for x
    x = 96,181,799,501,824/6,380,462
  6. Step 6: Final answer
    x = 15,074,425.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.