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Finding the Third Proportional to 9,065,127.75 and 14,057,232.75

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Solution

The third proportional to 9,065,127.75 and 14,057,232.75 is: 21,798,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065,127.75 : 14,057,232.75 = 14,057,232.75 : x
  2. Step 2: Convert to fraction form
    9,065,127.75/14,057,232.75 = 14,057,232.75/x
  3. Step 3: Cross multiply
    9,065,127.75x = 14,057,232.75 × 14,057,232.75
  4. Step 4: Simplify right side
    9,065,127.75x = 197,605,792,587,672.56
  5. Step 5: Solve for x
    x = 197,605,792,587,672.56/9,065,127.75
  6. Step 6: Final answer
    x = 21,798,456.46

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Why These Related Problems?

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