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Finding the Third Proportional to 8,624,288 and 17,502,007

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Solution

The third proportional to 8,624,288 and 17,502,007 is: 35,518,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624,288 : 17,502,007 = 17,502,007 : x
  2. Step 2: Convert to fraction form
    8,624,288/17,502,007 = 17,502,007/x
  3. Step 3: Cross multiply
    8,624,288x = 17,502,007 × 17,502,007
  4. Step 4: Simplify right side
    8,624,288x = 306,320,249,028,049
  5. Step 5: Solve for x
    x = 306,320,249,028,049/8,624,288
  6. Step 6: Final answer
    x = 35,518,323.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.