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Finding the Third Proportional to 23,437,932 and 51,414,072

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Solution

The third proportional to 23,437,932 and 51,414,072 is: 112,783,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437,932 : 51,414,072 = 51,414,072 : x
  2. Step 2: Convert to fraction form
    23,437,932/51,414,072 = 51,414,072/x
  3. Step 3: Cross multiply
    23,437,932x = 51,414,072 × 51,414,072
  4. Step 4: Simplify right side
    23,437,932x = 2,643,406,799,621,184
  5. Step 5: Solve for x
    x = 2,643,406,799,621,184/23,437,932
  6. Step 6: Final answer
    x = 112,783,277.96

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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.