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Finding the Third Proportional to 10,914,494 and 23,765,326

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Solution

The third proportional to 10,914,494 and 23,765,326 is: 51,746,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914,494 : 23,765,326 = 23,765,326 : x
  2. Step 2: Convert to fraction form
    10,914,494/23,765,326 = 23,765,326/x
  3. Step 3: Cross multiply
    10,914,494x = 23,765,326 × 23,765,326
  4. Step 4: Simplify right side
    10,914,494x = 564,790,719,886,276
  5. Step 5: Solve for x
    x = 564,790,719,886,276/10,914,494
  6. Step 6: Final answer
    x = 51,746,853.30

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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.