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Finding the Third Proportional to 23,461,805 and 49,068,715

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Solution

The third proportional to 23,461,805 and 49,068,715 is: 102,623,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461,805 : 49,068,715 = 49,068,715 : x
  2. Step 2: Convert to fraction form
    23,461,805/49,068,715 = 49,068,715/x
  3. Step 3: Cross multiply
    23,461,805x = 49,068,715 × 49,068,715
  4. Step 4: Simplify right side
    23,461,805x = 2,407,738,791,751,225
  5. Step 5: Solve for x
    x = 2,407,738,791,751,225/23,461,805
  6. Step 6: Final answer
    x = 102,623,766.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.