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Finding the Third Proportional to 5,448,637.13 and 11,561,438.81

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Solution

The third proportional to 5,448,637.13 and 11,561,438.81 is: 24,532,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448,637.13 : 11,561,438.81 = 11,561,438.81 : x
  2. Step 2: Convert to fraction form
    5,448,637.13/11,561,438.81 = 11,561,438.81/x
  3. Step 3: Cross multiply
    5,448,637.13x = 11,561,438.81 × 11,561,438.81
  4. Step 4: Simplify right side
    5,448,637.13x = 133,666,867,415,181.41
  5. Step 5: Solve for x
    x = 133,666,867,415,181.41/5,448,637.13
  6. Step 6: Final answer
    x = 24,532,165.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.