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Finding the Third Proportional to 4,223,901.09 and 6,543,376.17

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Solution

The third proportional to 4,223,901.09 and 6,543,376.17 is: 10,136,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223,901.09 : 6,543,376.17 = 6,543,376.17 : x
  2. Step 2: Convert to fraction form
    4,223,901.09/6,543,376.17 = 6,543,376.17/x
  3. Step 3: Cross multiply
    4,223,901.09x = 6,543,376.17 × 6,543,376.17
  4. Step 4: Simplify right side
    4,223,901.09x = 42,815,771,726,661.53
  5. Step 5: Solve for x
    x = 42,815,771,726,661.53/4,223,901.09
  6. Step 6: Final answer
    x = 10,136,546.94

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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.