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Finding the Third Proportional to 4,612,986 and 7,331,455.13

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Solution

The third proportional to 4,612,986 and 7,331,455.13 is: 11,651,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612,986 : 7,331,455.13 = 7,331,455.13 : x
  2. Step 2: Convert to fraction form
    4,612,986/7,331,455.13 = 7,331,455.13/x
  3. Step 3: Cross multiply
    4,612,986x = 7,331,455.13 × 7,331,455.13
  4. Step 4: Simplify right side
    4,612,986x = 53,750,234,249,888.77
  5. Step 5: Solve for x
    x = 53,750,234,249,888.77/4,612,986
  6. Step 6: Final answer
    x = 11,651,939.60

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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.