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Finding the Third Proportional to 5,384,360.81 and 11,525,577.19

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Solution

The third proportional to 5,384,360.81 and 11,525,577.19 is: 24,671,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,360.81 : 11,525,577.19 = 11,525,577.19 : x
  2. Step 2: Convert to fraction form
    5,384,360.81/11,525,577.19 = 11,525,577.19/x
  3. Step 3: Cross multiply
    5,384,360.81x = 11,525,577.19 × 11,525,577.19
  4. Step 4: Simplify right side
    5,384,360.81x = 132,838,929,505,020.41
  5. Step 5: Solve for x
    x = 132,838,929,505,020.41/5,384,360.81
  6. Step 6: Final answer
    x = 24,671,253.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.