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Finding the Third Proportional to 41,507,551 and 96,092,021

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Solution

The third proportional to 41,507,551 and 96,092,021 is: 222,457,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507,551 : 96,092,021 = 96,092,021 : x
  2. Step 2: Convert to fraction form
    41,507,551/96,092,021 = 96,092,021/x
  3. Step 3: Cross multiply
    41,507,551x = 96,092,021 × 96,092,021
  4. Step 4: Simplify right side
    41,507,551x = 9,233,676,499,864,440
  5. Step 5: Solve for x
    x = 9,233,676,499,864,440/41,507,551
  6. Step 6: Final answer
    x = 222,457,752.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.