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Finding the Third Proportional to 12,576,782 and 26,946,580

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Solution

The third proportional to 12,576,782 and 26,946,580 is: 57,734,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576,782 : 26,946,580 = 26,946,580 : x
  2. Step 2: Convert to fraction form
    12,576,782/26,946,580 = 26,946,580/x
  3. Step 3: Cross multiply
    12,576,782x = 26,946,580 × 26,946,580
  4. Step 4: Simplify right side
    12,576,782x = 726,118,173,696,400
  5. Step 5: Solve for x
    x = 726,118,173,696,400/12,576,782
  6. Step 6: Final answer
    x = 57,734,814.33

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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.