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Finding the Third Proportional to 12,288,576 and 26,460,480

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Solution

The third proportional to 12,288,576 and 26,460,480 is: 56,976,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288,576 : 26,460,480 = 26,460,480 : x
  2. Step 2: Convert to fraction form
    12,288,576/26,460,480 = 26,460,480/x
  3. Step 3: Cross multiply
    12,288,576x = 26,460,480 × 26,460,480
  4. Step 4: Simplify right side
    12,288,576x = 700,157,001,830,400
  5. Step 5: Solve for x
    x = 700,157,001,830,400/12,288,576
  6. Step 6: Final answer
    x = 56,976,251.91

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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.