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Finding the Third Proportional to 7,996,804 and 17,413,448

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Solution

The third proportional to 7,996,804 and 17,413,448 is: 37,918,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996,804 : 17,413,448 = 17,413,448 : x
  2. Step 2: Convert to fraction form
    7,996,804/17,413,448 = 17,413,448/x
  3. Step 3: Cross multiply
    7,996,804x = 17,413,448 × 17,413,448
  4. Step 4: Simplify right side
    7,996,804x = 303,228,171,248,704
  5. Step 5: Solve for x
    x = 303,228,171,248,704/7,996,804
  6. Step 6: Final answer
    x = 37,918,669.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.