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Finding the Third Proportional to 7,412,160 and 16,005,288

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Solution

The third proportional to 7,412,160 and 16,005,288 is: 34,560,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412,160 : 16,005,288 = 16,005,288 : x
  2. Step 2: Convert to fraction form
    7,412,160/16,005,288 = 16,005,288/x
  3. Step 3: Cross multiply
    7,412,160x = 16,005,288 × 16,005,288
  4. Step 4: Simplify right side
    7,412,160x = 256,169,243,962,944
  5. Step 5: Solve for x
    x = 256,169,243,962,944/7,412,160
  6. Step 6: Final answer
    x = 34,560,673.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.