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Finding the Third Proportional to 2,350,983.94 and 5,164,337.81

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Solution

The third proportional to 2,350,983.94 and 5,164,337.81 is: 11,344,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350,983.94 : 5,164,337.81 = 5,164,337.81 : x
  2. Step 2: Convert to fraction form
    2,350,983.94/5,164,337.81 = 5,164,337.81/x
  3. Step 3: Cross multiply
    2,350,983.94x = 5,164,337.81 × 5,164,337.81
  4. Step 4: Simplify right side
    2,350,983.94x = 26,670,385,041,617.29
  5. Step 5: Solve for x
    x = 26,670,385,041,617.29/2,350,983.94
  6. Step 6: Final answer
    x = 11,344,350.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.