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Finding the Third Proportional to 3,265,116 and 7,624,581

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Solution

The third proportional to 3,265,116 and 7,624,581 is: 17,804,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265,116 : 7,624,581 = 7,624,581 : x
  2. Step 2: Convert to fraction form
    3,265,116/7,624,581 = 7,624,581/x
  3. Step 3: Cross multiply
    3,265,116x = 7,624,581 × 7,624,581
  4. Step 4: Simplify right side
    3,265,116x = 58,134,235,425,561
  5. Step 5: Solve for x
    x = 58,134,235,425,561/3,265,116
  6. Step 6: Final answer
    x = 17,804,646.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.