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Finding the Third Proportional to 9,577,794 and 21,281,356

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Solution

The third proportional to 9,577,794 and 21,281,356 is: 47,286,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,794 : 21,281,356 = 21,281,356 : x
  2. Step 2: Convert to fraction form
    9,577,794/21,281,356 = 21,281,356/x
  3. Step 3: Cross multiply
    9,577,794x = 21,281,356 × 21,281,356
  4. Step 4: Simplify right side
    9,577,794x = 452,896,113,198,736
  5. Step 5: Solve for x
    x = 452,896,113,198,736/9,577,794
  6. Step 6: Final answer
    x = 47,286,057.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.