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Finding the Third Proportional to 45,627,912 and 101,457,496

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Solution

The third proportional to 45,627,912 and 101,457,496 is: 225,599,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,627,912 : 101,457,496 = 101,457,496 : x
  2. Step 2: Convert to fraction form
    45,627,912/101,457,496 = 101,457,496/x
  3. Step 3: Cross multiply
    45,627,912x = 101,457,496 × 101,457,496
  4. Step 4: Simplify right side
    45,627,912x = 10,293,623,494,590,016
  5. Step 5: Solve for x
    x = 10,293,623,494,590,016/45,627,912
  6. Step 6: Final answer
    x = 225,599,266.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.