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Finding the Third Proportional to 7,242,924 and 15,661,914

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Solution

The third proportional to 7,242,924 and 15,661,914 is: 33,866,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242,924 : 15,661,914 = 15,661,914 : x
  2. Step 2: Convert to fraction form
    7,242,924/15,661,914 = 15,661,914/x
  3. Step 3: Cross multiply
    7,242,924x = 15,661,914 × 15,661,914
  4. Step 4: Simplify right side
    7,242,924x = 245,295,550,143,396
  5. Step 5: Solve for x
    x = 245,295,550,143,396/7,242,924
  6. Step 6: Final answer
    x = 33,866,923.10

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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.