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Finding the Third Proportional to 12,742,048 and 27,512,664

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Solution

The third proportional to 12,742,048 and 27,512,664 is: 59,405,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,048 : 27,512,664 = 27,512,664 : x
  2. Step 2: Convert to fraction form
    12,742,048/27,512,664 = 27,512,664/x
  3. Step 3: Cross multiply
    12,742,048x = 27,512,664 × 27,512,664
  4. Step 4: Simplify right side
    12,742,048x = 756,946,680,376,896
  5. Step 5: Solve for x
    x = 756,946,680,376,896/12,742,048
  6. Step 6: Final answer
    x = 59,405,417.43

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Why These Related Problems?

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