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Finding the Third Proportional to 2,447,157 and 5,367,066

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Solution

The third proportional to 2,447,157 and 5,367,066 is: 11,770,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,157 : 5,367,066 = 5,367,066 : x
  2. Step 2: Convert to fraction form
    2,447,157/5,367,066 = 5,367,066/x
  3. Step 3: Cross multiply
    2,447,157x = 5,367,066 × 5,367,066
  4. Step 4: Simplify right side
    2,447,157x = 28,805,397,448,356
  5. Step 5: Solve for x
    x = 28,805,397,448,356/2,447,157
  6. Step 6: Final answer
    x = 11,770,964.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.