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Finding the Third Proportional to 7,656,146 and 16,703,189

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Solution

The third proportional to 7,656,146 and 16,703,189 is: 36,440,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,146 : 16,703,189 = 16,703,189 : x
  2. Step 2: Convert to fraction form
    7,656,146/16,703,189 = 16,703,189/x
  3. Step 3: Cross multiply
    7,656,146x = 16,703,189 × 16,703,189
  4. Step 4: Simplify right side
    7,656,146x = 278,996,522,769,721
  5. Step 5: Solve for x
    x = 278,996,522,769,721/7,656,146
  6. Step 6: Final answer
    x = 36,440,857.16

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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.