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Finding the Third Proportional to 3,964,481 and 6,301,177.50

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Solution

The third proportional to 3,964,481 and 6,301,177.50 is: 10,015,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964,481 : 6,301,177.50 = 6,301,177.50 : x
  2. Step 2: Convert to fraction form
    3,964,481/6,301,177.50 = 6,301,177.50/x
  3. Step 3: Cross multiply
    3,964,481x = 6,301,177.50 × 6,301,177.50
  4. Step 4: Simplify right side
    3,964,481x = 39,704,837,886,506.25
  5. Step 5: Solve for x
    x = 39,704,837,886,506.25/3,964,481
  6. Step 6: Final answer
    x = 10,015,141.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.