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Finding the Third Proportional to 2,996,144 and 6,471,136

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Solution

The third proportional to 2,996,144 and 6,471,136 is: 13,976,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,144 : 6,471,136 = 6,471,136 : x
  2. Step 2: Convert to fraction form
    2,996,144/6,471,136 = 6,471,136/x
  3. Step 3: Cross multiply
    2,996,144x = 6,471,136 × 6,471,136
  4. Step 4: Simplify right side
    2,996,144x = 41,875,601,130,496
  5. Step 5: Solve for x
    x = 41,875,601,130,496/2,996,144
  6. Step 6: Final answer
    x = 13,976,498.17

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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.