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Finding the Third Proportional to 9,764,231 and 21,264,302

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Solution

The third proportional to 9,764,231 and 21,264,302 is: 46,308,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,231 : 21,264,302 = 21,264,302 : x
  2. Step 2: Convert to fraction form
    9,764,231/21,264,302 = 21,264,302/x
  3. Step 3: Cross multiply
    9,764,231x = 21,264,302 × 21,264,302
  4. Step 4: Simplify right side
    9,764,231x = 452,170,539,547,204
  5. Step 5: Solve for x
    x = 452,170,539,547,204/9,764,231
  6. Step 6: Final answer
    x = 46,308,873.64

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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.