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Finding the Third Proportional to 9,764,206 and 21,264,260

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Solution

The third proportional to 9,764,206 and 21,264,260 is: 46,308,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,206 : 21,264,260 = 21,264,260 : x
  2. Step 2: Convert to fraction form
    9,764,206/21,264,260 = 21,264,260/x
  3. Step 3: Cross multiply
    9,764,206x = 21,264,260 × 21,264,260
  4. Step 4: Simplify right side
    9,764,206x = 452,168,753,347,600
  5. Step 5: Solve for x
    x = 452,168,753,347,600/9,764,206
  6. Step 6: Final answer
    x = 46,308,809.27

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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.