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Finding the Third Proportional to 10,694,537 and 23,093,598

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Solution

The third proportional to 10,694,537 and 23,093,598 is: 49,867,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,537 : 23,093,598 = 23,093,598 : x
  2. Step 2: Convert to fraction form
    10,694,537/23,093,598 = 23,093,598/x
  3. Step 3: Cross multiply
    10,694,537x = 23,093,598 × 23,093,598
  4. Step 4: Simplify right side
    10,694,537x = 533,314,268,585,604
  5. Step 5: Solve for x
    x = 533,314,268,585,604/10,694,537
  6. Step 6: Final answer
    x = 49,867,915.61

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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.