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Finding the Third Proportional to 9,636,424 and 19,029,136

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Solution

The third proportional to 9,636,424 and 19,029,136 is: 37,577,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636,424 : 19,029,136 = 19,029,136 : x
  2. Step 2: Convert to fraction form
    9,636,424/19,029,136 = 19,029,136/x
  3. Step 3: Cross multiply
    9,636,424x = 19,029,136 × 19,029,136
  4. Step 4: Simplify right side
    9,636,424x = 362,108,016,906,496
  5. Step 5: Solve for x
    x = 362,108,016,906,496/9,636,424
  6. Step 6: Final answer
    x = 37,577,011.65

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.