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Finding the Third Proportional to 8,402,136 and 17,999,832

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Solution

The third proportional to 8,402,136 and 17,999,832 is: 38,560,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402,136 : 17,999,832 = 17,999,832 : x
  2. Step 2: Convert to fraction form
    8,402,136/17,999,832 = 17,999,832/x
  3. Step 3: Cross multiply
    8,402,136x = 17,999,832 × 17,999,832
  4. Step 4: Simplify right side
    8,402,136x = 323,993,952,028,224
  5. Step 5: Solve for x
    x = 323,993,952,028,224/8,402,136
  6. Step 6: Final answer
    x = 38,560,903.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.