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Finding the Third Proportional to 12,742,046 and 27,512,660

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Solution

The third proportional to 12,742,046 and 27,512,660 is: 59,405,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,046 : 27,512,660 = 27,512,660 : x
  2. Step 2: Convert to fraction form
    12,742,046/27,512,660 = 27,512,660/x
  3. Step 3: Cross multiply
    12,742,046x = 27,512,660 × 27,512,660
  4. Step 4: Simplify right side
    12,742,046x = 756,946,460,275,600
  5. Step 5: Solve for x
    x = 756,946,460,275,600/12,742,046
  6. Step 6: Final answer
    x = 59,405,409.48

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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.