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Finding the Third Proportional to 23,437,954 and 51,414,114

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Solution

The third proportional to 23,437,954 and 51,414,114 is: 112,783,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437,954 : 51,414,114 = 51,414,114 : x
  2. Step 2: Convert to fraction form
    23,437,954/51,414,114 = 51,414,114/x
  3. Step 3: Cross multiply
    23,437,954x = 51,414,114 × 51,414,114
  4. Step 4: Simplify right side
    23,437,954x = 2,643,411,118,404,996
  5. Step 5: Solve for x
    x = 2,643,411,118,404,996/23,437,954
  6. Step 6: Final answer
    x = 112,783,356.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.