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Finding the Third Proportional to 3,645,732 and 7,977,939

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Solution

The third proportional to 3,645,732 and 7,977,939 is: 17,458,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,732 : 7,977,939 = 7,977,939 : x
  2. Step 2: Convert to fraction form
    3,645,732/7,977,939 = 7,977,939/x
  3. Step 3: Cross multiply
    3,645,732x = 7,977,939 × 7,977,939
  4. Step 4: Simplify right side
    3,645,732x = 63,647,510,687,721
  5. Step 5: Solve for x
    x = 63,647,510,687,721/3,645,732
  6. Step 6: Final answer
    x = 17,458,088.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.