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Finding the Third Proportional to 4,709,857.50 and 10,101,177

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Solution

The third proportional to 4,709,857.50 and 10,101,177 is: 21,663,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,857.50 : 10,101,177 = 10,101,177 : x
  2. Step 2: Convert to fraction form
    4,709,857.50/10,101,177 = 10,101,177/x
  3. Step 3: Cross multiply
    4,709,857.50x = 10,101,177 × 10,101,177
  4. Step 4: Simplify right side
    4,709,857.50x = 102,033,776,785,329
  5. Step 5: Solve for x
    x = 102,033,776,785,329/4,709,857.50
  6. Step 6: Final answer
    x = 21,663,877.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.