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Finding the Third Proportional to 15,425,269,414 and 21,722,178,442

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Solution

The third proportional to 15,425,269,414 and 21,722,178,442 is: 30,589,613,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,425,269,414 : 21,722,178,442 = 21,722,178,442 : x
  2. Step 2: Convert to fraction form
    15,425,269,414/21,722,178,442 = 21,722,178,442/x
  3. Step 3: Cross multiply
    15,425,269,414x = 21,722,178,442 × 21,722,178,442
  4. Step 4: Simplify right side
    15,425,269,414x = 471,853,036,266,089,545,728
  5. Step 5: Solve for x
    x = 471,853,036,266,089,545,728/15,425,269,414
  6. Step 6: Final answer
    x = 30,589,613,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.