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Finding the Third Proportional to 12,742,047 and 27,512,662

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Solution

The third proportional to 12,742,047 and 27,512,662 is: 59,405,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,047 : 27,512,662 = 27,512,662 : x
  2. Step 2: Convert to fraction form
    12,742,047/27,512,662 = 27,512,662/x
  3. Step 3: Cross multiply
    12,742,047x = 27,512,662 × 27,512,662
  4. Step 4: Simplify right side
    12,742,047x = 756,946,570,326,244
  5. Step 5: Solve for x
    x = 756,946,570,326,244/12,742,047
  6. Step 6: Final answer
    x = 59,405,413.46

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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.