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Finding the Third Proportional to 4,356,553.50 and 9,468,715.50

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Solution

The third proportional to 4,356,553.50 and 9,468,715.50 is: 20,579,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356,553.50 : 9,468,715.50 = 9,468,715.50 : x
  2. Step 2: Convert to fraction form
    4,356,553.50/9,468,715.50 = 9,468,715.50/x
  3. Step 3: Cross multiply
    4,356,553.50x = 9,468,715.50 × 9,468,715.50
  4. Step 4: Simplify right side
    4,356,553.50x = 89,656,573,219,940.25
  5. Step 5: Solve for x
    x = 89,656,573,219,940.25/4,356,553.50
  6. Step 6: Final answer
    x = 20,579,702.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.