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Finding the Third Proportional to 10,384,426.13 and 16,120,930.50

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Solution

The third proportional to 10,384,426.13 and 16,120,930.50 is: 25,026,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384,426.13 : 16,120,930.50 = 16,120,930.50 : x
  2. Step 2: Convert to fraction form
    10,384,426.13/16,120,930.50 = 16,120,930.50/x
  3. Step 3: Cross multiply
    10,384,426.13x = 16,120,930.50 × 16,120,930.50
  4. Step 4: Simplify right side
    10,384,426.13x = 259,884,400,185,830.25
  5. Step 5: Solve for x
    x = 259,884,400,185,830.25/10,384,426.13
  6. Step 6: Final answer
    x = 25,026,361.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.