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Finding the Third Proportional to 9,484,145.50 and 22,381,169.25

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Solution

The third proportional to 9,484,145.50 and 22,381,169.25 is: 52,816,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484,145.50 : 22,381,169.25 = 22,381,169.25 : x
  2. Step 2: Convert to fraction form
    9,484,145.50/22,381,169.25 = 22,381,169.25/x
  3. Step 3: Cross multiply
    9,484,145.50x = 22,381,169.25 × 22,381,169.25
  4. Step 4: Simplify right side
    9,484,145.50x = 500,916,736,997,145.56
  5. Step 5: Solve for x
    x = 500,916,736,997,145.56/9,484,145.50
  6. Step 6: Final answer
    x = 52,816,222.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.