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Finding the Third Proportional to 23,771,286 and 35,713,710

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Solution

The third proportional to 23,771,286 and 35,713,710 is: 53,655,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771,286 : 35,713,710 = 35,713,710 : x
  2. Step 2: Convert to fraction form
    23,771,286/35,713,710 = 35,713,710/x
  3. Step 3: Cross multiply
    23,771,286x = 35,713,710 × 35,713,710
  4. Step 4: Simplify right side
    23,771,286x = 1,275,469,081,964,100
  5. Step 5: Solve for x
    x = 1,275,469,081,964,100/23,771,286
  6. Step 6: Final answer
    x = 53,655,872.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.