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Finding the Third Proportional to 3,712,437.75 and 5,907,277.13

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Solution

The third proportional to 3,712,437.75 and 5,907,277.13 is: 9,399,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712,437.75 : 5,907,277.13 = 5,907,277.13 : x
  2. Step 2: Convert to fraction form
    3,712,437.75/5,907,277.13 = 5,907,277.13/x
  3. Step 3: Cross multiply
    3,712,437.75x = 5,907,277.13 × 5,907,277.13
  4. Step 4: Simplify right side
    3,712,437.75x = 34,895,923,031,548.27
  5. Step 5: Solve for x
    x = 34,895,923,031,548.27/3,712,437.75
  6. Step 6: Final answer
    x = 9,399,732.84

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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.