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Finding the Third Proportional to 10,181,153.25 and 14,241,440.25

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Solution

The third proportional to 10,181,153.25 and 14,241,440.25 is: 19,920,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,153.25 : 14,241,440.25 = 14,241,440.25 : x
  2. Step 2: Convert to fraction form
    10,181,153.25/14,241,440.25 = 14,241,440.25/x
  3. Step 3: Cross multiply
    10,181,153.25x = 14,241,440.25 × 14,241,440.25
  4. Step 4: Simplify right side
    10,181,153.25x = 202,818,620,394,320.06
  5. Step 5: Solve for x
    x = 202,818,620,394,320.06/10,181,153.25
  6. Step 6: Final answer
    x = 19,920,986.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.