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Finding the Third Proportional to 3,275,280 and 7,048,224

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Solution

The third proportional to 3,275,280 and 7,048,224 is: 15,167,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275,280 : 7,048,224 = 7,048,224 : x
  2. Step 2: Convert to fraction form
    3,275,280/7,048,224 = 7,048,224/x
  3. Step 3: Cross multiply
    3,275,280x = 7,048,224 × 7,048,224
  4. Step 4: Simplify right side
    3,275,280x = 49,677,461,554,176
  5. Step 5: Solve for x
    x = 49,677,461,554,176/3,275,280
  6. Step 6: Final answer
    x = 15,167,393.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.