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Finding the Third Proportional to 6,670,364 and 14,545,136

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Solution

The third proportional to 6,670,364 and 14,545,136 is: 31,716,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670,364 : 14,545,136 = 14,545,136 : x
  2. Step 2: Convert to fraction form
    6,670,364/14,545,136 = 14,545,136/x
  3. Step 3: Cross multiply
    6,670,364x = 14,545,136 × 14,545,136
  4. Step 4: Simplify right side
    6,670,364x = 211,560,981,258,496
  5. Step 5: Solve for x
    x = 211,560,981,258,496/6,670,364
  6. Step 6: Final answer
    x = 31,716,557.19

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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.