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Finding the Third Proportional to 9,816,923.25 and 22,928,298.75

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Solution

The third proportional to 9,816,923.25 and 22,928,298.75 is: 53,551,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816,923.25 : 22,928,298.75 = 22,928,298.75 : x
  2. Step 2: Convert to fraction form
    9,816,923.25/22,928,298.75 = 22,928,298.75/x
  3. Step 3: Cross multiply
    9,816,923.25x = 22,928,298.75 × 22,928,298.75
  4. Step 4: Simplify right side
    9,816,923.25x = 525,706,883,569,251.56
  5. Step 5: Solve for x
    x = 525,706,883,569,251.56/9,816,923.25
  6. Step 6: Final answer
    x = 53,551,084.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.