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Finding the Third Proportional to 8,298,660 and 17,007,015

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Solution

The third proportional to 8,298,660 and 17,007,015 is: 34,853,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298,660 : 17,007,015 = 17,007,015 : x
  2. Step 2: Convert to fraction form
    8,298,660/17,007,015 = 17,007,015/x
  3. Step 3: Cross multiply
    8,298,660x = 17,007,015 × 17,007,015
  4. Step 4: Simplify right side
    8,298,660x = 289,238,559,210,225
  5. Step 5: Solve for x
    x = 289,238,559,210,225/8,298,660
  6. Step 6: Final answer
    x = 34,853,646.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.