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Finding the Third Proportional to 2,700,282 and 5,762,148

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Solution

The third proportional to 2,700,282 and 5,762,148 is: 12,295,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700,282 : 5,762,148 = 5,762,148 : x
  2. Step 2: Convert to fraction form
    2,700,282/5,762,148 = 5,762,148/x
  3. Step 3: Cross multiply
    2,700,282x = 5,762,148 × 5,762,148
  4. Step 4: Simplify right side
    2,700,282x = 33,202,349,573,904
  5. Step 5: Solve for x
    x = 33,202,349,573,904/2,700,282
  6. Step 6: Final answer
    x = 12,295,882.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.