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Finding the Third Proportional to 14,743,679 and 23,078,097

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Solution

The third proportional to 14,743,679 and 23,078,097 is: 36,123,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743,679 : 23,078,097 = 23,078,097 : x
  2. Step 2: Convert to fraction form
    14,743,679/23,078,097 = 23,078,097/x
  3. Step 3: Cross multiply
    14,743,679x = 23,078,097 × 23,078,097
  4. Step 4: Simplify right side
    14,743,679x = 532,598,561,141,409
  5. Step 5: Solve for x
    x = 532,598,561,141,409/14,743,679
  6. Step 6: Final answer
    x = 36,123,857.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.