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Finding the Third Proportional to 9,764,203 and 21,264,254

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Solution

The third proportional to 9,764,203 and 21,264,254 is: 46,308,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,203 : 21,264,254 = 21,264,254 : x
  2. Step 2: Convert to fraction form
    9,764,203/21,264,254 = 21,264,254/x
  3. Step 3: Cross multiply
    9,764,203x = 21,264,254 × 21,264,254
  4. Step 4: Simplify right side
    9,764,203x = 452,168,498,176,516
  5. Step 5: Solve for x
    x = 452,168,498,176,516/9,764,203
  6. Step 6: Final answer
    x = 46,308,797.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.