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Finding the Third Proportional to 3,666,970.50 and 7,971,542.25

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Solution

The third proportional to 3,666,970.50 and 7,971,542.25 is: 17,329,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666,970.50 : 7,971,542.25 = 7,971,542.25 : x
  2. Step 2: Convert to fraction form
    3,666,970.50/7,971,542.25 = 7,971,542.25/x
  3. Step 3: Cross multiply
    3,666,970.50x = 7,971,542.25 × 7,971,542.25
  4. Step 4: Simplify right side
    3,666,970.50x = 63,545,485,843,535.06
  5. Step 5: Solve for x
    x = 63,545,485,843,535.06/3,666,970.50
  6. Step 6: Final answer
    x = 17,329,151.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.