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Finding the Third Proportional to 10,542,583.13 and 15,926,203.13

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Solution

The third proportional to 10,542,583.13 and 15,926,203.13 is: 24,058,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542,583.13 : 15,926,203.13 = 15,926,203.13 : x
  2. Step 2: Convert to fraction form
    10,542,583.13/15,926,203.13 = 15,926,203.13/x
  3. Step 3: Cross multiply
    10,542,583.13x = 15,926,203.13 × 15,926,203.13
  4. Step 4: Simplify right side
    10,542,583.13x = 253,643,945,978,759.75
  5. Step 5: Solve for x
    x = 253,643,945,978,759.75/10,542,583.13
  6. Step 6: Final answer
    x = 24,058,994.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.