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Finding the Third Proportional to 5,047,992 and 10,947,708

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Solution

The third proportional to 5,047,992 and 10,947,708 is: 23,742,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047,992 : 10,947,708 = 10,947,708 : x
  2. Step 2: Convert to fraction form
    5,047,992/10,947,708 = 10,947,708/x
  3. Step 3: Cross multiply
    5,047,992x = 10,947,708 × 10,947,708
  4. Step 4: Simplify right side
    5,047,992x = 119,852,310,453,264
  5. Step 5: Solve for x
    x = 119,852,310,453,264/5,047,992
  6. Step 6: Final answer
    x = 23,742,571.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.