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Finding the Third Proportional to 4,947,207 and 7,567,936.50

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Solution

The third proportional to 4,947,207 and 7,567,936.50 is: 11,576,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947,207 : 7,567,936.50 = 7,567,936.50 : x
  2. Step 2: Convert to fraction form
    4,947,207/7,567,936.50 = 7,567,936.50/x
  3. Step 3: Cross multiply
    4,947,207x = 7,567,936.50 × 7,567,936.50
  4. Step 4: Simplify right side
    4,947,207x = 57,273,662,868,032.25
  5. Step 5: Solve for x
    x = 57,273,662,868,032.25/4,947,207
  6. Step 6: Final answer
    x = 11,576,969.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.