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Finding the Third Proportional to 10,694,306 and 23,093,122

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Solution

The third proportional to 10,694,306 and 23,093,122 is: 49,866,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,306 : 23,093,122 = 23,093,122 : x
  2. Step 2: Convert to fraction form
    10,694,306/23,093,122 = 23,093,122/x
  3. Step 3: Cross multiply
    10,694,306x = 23,093,122 × 23,093,122
  4. Step 4: Simplify right side
    10,694,306x = 533,292,283,706,884
  5. Step 5: Solve for x
    x = 533,292,283,706,884/10,694,306
  6. Step 6: Final answer
    x = 49,866,937.01

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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.