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Finding the Third Proportional to 6,419,136 and 14,097,784

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Solution

The third proportional to 6,419,136 and 14,097,784 is: 30,961,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,136 : 14,097,784 = 14,097,784 : x
  2. Step 2: Convert to fraction form
    6,419,136/14,097,784 = 14,097,784/x
  3. Step 3: Cross multiply
    6,419,136x = 14,097,784 × 14,097,784
  4. Step 4: Simplify right side
    6,419,136x = 198,747,513,710,656
  5. Step 5: Solve for x
    x = 198,747,513,710,656/6,419,136
  6. Step 6: Final answer
    x = 30,961,723.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.