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Finding the Third Proportional to 10,459,736 and 22,571,864

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Solution

The third proportional to 10,459,736 and 22,571,864 is: 48,709,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459,736 : 22,571,864 = 22,571,864 : x
  2. Step 2: Convert to fraction form
    10,459,736/22,571,864 = 22,571,864/x
  3. Step 3: Cross multiply
    10,459,736x = 22,571,864 × 22,571,864
  4. Step 4: Simplify right side
    10,459,736x = 509,489,044,434,496
  5. Step 5: Solve for x
    x = 509,489,044,434,496/10,459,736
  6. Step 6: Final answer
    x = 48,709,551.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.