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Finding the Third Proportional to 2,415,412 and 5,209,136

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Solution

The third proportional to 2,415,412 and 5,209,136 is: 11,234,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415,412 : 5,209,136 = 5,209,136 : x
  2. Step 2: Convert to fraction form
    2,415,412/5,209,136 = 5,209,136/x
  3. Step 3: Cross multiply
    2,415,412x = 5,209,136 × 5,209,136
  4. Step 4: Simplify right side
    2,415,412x = 27,135,097,866,496
  5. Step 5: Solve for x
    x = 27,135,097,866,496/2,415,412
  6. Step 6: Final answer
    x = 11,234,148.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.